{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T07:06:35+00:00","modifiedTime":"2022-09-27T19:10:53+00:00","timestamp":"2022-09-27T21:01:03+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"GED","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33783"},"slug":"ged","categoryId":33783}],"title":"GED Math Practice Questions: Probability","strippedTitle":"ged math practice questions: probability","slug":"ged-math-practice-questions-probability","canonicalUrl":"","seo":{"metaDescription":"Learn how to solve probability questions on the GED math reasoning test, including for simple and compound events.","noIndex":0,"noFollow":0},"content":"The probability of a probability question appearing in the GED Mathematical Reasoning test, is, well, pretty good. If you get one, it will either ask you to calculate for <i>simple</i> (one-time) events or <i>compound</i> (two or more) events.\r\n\r\nThe following practice questions ask you to calculate the odds of drawing a certain number in a lottery, and of drawing a certain card from a deck.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol class=\"level-one\">\r\n \t<li>\r\n<p class=\"first-para\">Harry was interested in the lottery draws and compiled the following table of winning numbers.</p>\r\n<p class=\"child-para\">Assuming that there are 49 possible numbers in the set to be drawn, what are your chances of drawing a 1 in your first draw?</p>\r\n<p class=\"child-para\"><b>A.</b> 1 in 343</p>\r\n<p class=\"child-para\"><b>B.</b> 3 in 343</p>\r\n<p class=\"child-para\"><b>C.</b> 3 in 7</p>\r\n<p class=\"child-para\"><b>D.</b> 1 in 49</p>\r\n</li>\r\n \t<li>\r\n<p class=\"first-para\">The probability of an event taking place, <i>P,</i> is equal to the number of ways a particular event can occur, <i>N,</i> divided by the total number of ways, <i>M,</i> or</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506642.image0.png\" alt=\"image0.png\" width=\"64\" height=\"23\" />\r\n<p class=\"child-para\">To test this theory, a student removes all the picture cards from a 52-card deck with 4 cards representing each of 1 to 10. What is the probability that a card less than the number 6 will be drawn? (Aces are low in this case.)</p>\r\n</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol class=\"level-one\">\r\n \t<li>\r\n<p class=\"first-para\">D. 1 in 49.</p>\r\n<p class=\"child-para\">If there are 49 possible numbers that can be drawn and 1 is one of the possibilities, your chances are 1 in 49 to draw 1 in your first draw. The table is extra information, and if you read the question carefully, you would see that the answer is in the question and not in the table.</p>\r\n</li>\r\n \t<li>\r\n<p class=\"first-para\">1 in 40.</p>\r\n<p class=\"child-para\">With the picture cards removed, 40 cards remain. Twenty of those cards are less than 6. The odds of drawing a card with a value less than 6 is 1 in 40.</p>\r\n</li>\r\n</ol>","description":"The probability of a probability question appearing in the GED Mathematical Reasoning test, is, well, pretty good. If you get one, it will either ask you to calculate for <i>simple</i> (one-time) events or <i>compound</i> (two or more) events.\r\n\r\nThe following practice questions ask you to calculate the odds of drawing a certain number in a lottery, and of drawing a certain card from a deck.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol class=\"level-one\">\r\n \t<li>\r\n<p class=\"first-para\">Harry was interested in the lottery draws and compiled the following table of winning numbers.</p>\r\n<p class=\"child-para\">Assuming that there are 49 possible numbers in the set to be drawn, what are your chances of drawing a 1 in your first draw?</p>\r\n<p class=\"child-para\"><b>A.</b> 1 in 343</p>\r\n<p class=\"child-para\"><b>B.</b> 3 in 343</p>\r\n<p class=\"child-para\"><b>C.</b> 3 in 7</p>\r\n<p class=\"child-para\"><b>D.</b> 1 in 49</p>\r\n</li>\r\n \t<li>\r\n<p class=\"first-para\">The probability of an event taking place, <i>P,</i> is equal to the number of ways a particular event can occur, <i>N,</i> divided by the total number of ways, <i>M,</i> or</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506642.image0.png\" alt=\"image0.png\" width=\"64\" height=\"23\" />\r\n<p class=\"child-para\">To test this theory, a student removes all the picture cards from a 52-card deck with 4 cards representing each of 1 to 10. What is the probability that a card less than the number 6 will be drawn? (Aces are low in this case.)</p>\r\n</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol class=\"level-one\">\r\n \t<li>\r\n<p class=\"first-para\">D. 1 in 49.</p>\r\n<p class=\"child-para\">If there are 49 possible numbers that can be drawn and 1 is one of the possibilities, your chances are 1 in 49 to draw 1 in your first draw. The table is extra information, and if you read the question carefully, you would see that the answer is in the question and not in the table.</p>\r\n</li>\r\n \t<li>\r\n<p class=\"first-para\">1 in 40.</p>\r\n<p class=\"child-para\">With the picture cards removed, 40 cards remain. Twenty of those cards are less than 6. The odds of drawing a card with a value less than 6 is 1 in 40.</p>\r\n</li>\r\n</ol>","blurb":"","authors":[],"primaryCategoryTaxonomy":{"categoryId":33783,"title":"GED","slug":"ged","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33783"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":172026,"title":"Repurposing Items for Beautiful Holiday Decorating","slug":"decorating-for-the-holidays-with-what-you-already-have","categoryList":["home-auto-hobbies","crafts","gifts-holidays"],"_links":{"self":"/articles/172026"}},{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":193770,"title":"How to Play Rummy: All You Need to 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Mathematical Reasoning Test For Dummies","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"9056\">Murray Shukyn,</b> an acknowledged Canadian leader in alternative education, has taught at the elementary, secondary, and university levels and created adult training programs. <b data-author-id=\"9055\">Achim Krull</b> has taught at high school and adult levels, and has written textbooks, teachers' guides, and numerous other learning materials. </p>","authors":[{"authorId":9056,"name":"Murray Shukyn","slug":"murray-shukyn","description":" <p><b>Murray Shukyn,</b> an acknowledged Canadian leader in alternative education, has taught at the elementary, secondary, and university levels and created adult training programs. <b>Achim Krull</b> has taught at high school and adult levels, and has written textbooks, teachers' guides, and numerous other learning materials. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9056"}},{"authorId":9055,"name":"Achim K. Krull","slug":"achim-k-krull","description":" <p><b>Murray Shukyn,</b> an acknowledged Canadian leader in alternative education, has taught at the elementary, secondary, and university levels and created adult training programs. <b>Achim Krull</b> has taught at high school and adult levels, and has written textbooks, teachers' guides, and numerous other learning materials. 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Category","mainCategoryUrl":"/category/articles/level-0-category-0"}}},"navigationCategoriesLoadedStatus":"success"},"searchState":{"searchList":[],"searchStatus":"initial","relatedArticlesList":{"term":"138042","count":5,"total":351,"topCategory":0,"items":[{"objectType":"article","id":138042,"data":{"title":"GED Math Practice Questions: Probability","slug":"ged-math-practice-questions-probability","update_time":"2022-09-27T19:10:53+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Academics & The Arts","slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","slug":"study-skills-test-prep","categoryId":33772},{"name":"GED","slug":"ged","categoryId":33783}],"description":"The probability of a probability question appearing in the GED Mathematical Reasoning test, is, well, pretty good. If you get one, it will either ask you to calculate for simple (one-time) events or compound (two or more) events.\r\n\r\nThe following practice questions ask you to calculate the odds of drawing a certain number in a lottery, and of drawing a certain card from a deck.\r\nPractice questions\r\n\r\n \t\r\nHarry was interested in the lottery draws and compiled the following table of winning numbers.\r\nAssuming that there are 49 possible numbers in the set to be drawn, what are your chances of drawing a 1 in your first draw?\r\nA. 1 in 343\r\nB. 3 in 343\r\nC. 3 in 7\r\nD. 1 in 49\r\n\r\n \t\r\nThe probability of an event taking place, P, is equal to the number of ways a particular event can occur, N, divided by the total number of ways, M, or\r\n\r\nTo test this theory, a student removes all the picture cards from a 52-card deck with 4 cards representing each of 1 to 10. What is the probability that a card less than the number 6 will be drawn? (Aces are low in this case.)\r\n\r\n\r\nAnswers and explanations\r\n\r\n \t\r\nD. 1 in 49.\r\nIf there are 49 possible numbers that can be drawn and 1 is one of the possibilities, your chances are 1 in 49 to draw 1 in your first draw. The table is extra information, and if you read the question carefully, you would see that the answer is in the question and not in the table.\r\n\r\n \t\r\n1 in 40.\r\nWith the picture cards removed, 40 cards remain. Twenty of those cards are less than 6. The odds of drawing a card with a value less than 6 is 1 in 40.\r\n\r\n","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null,"categoryList":["academics-the-arts","study-skills-test-prep","ged"],"title":"GED Math Practice Questions: Probability","slug":"ged-math-practice-questions-probability","articleId":138042},{"objectType":"article","id":241462,"data":{"title":"GED Math Practice Questions: Probability","slug":"ged-math-practice-questions-probability-2","update_time":"2017-06-29T17:26:36+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Academics & The Arts","slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","slug":"study-skills-test-prep","categoryId":33772},{"name":"GED","slug":"ged","categoryId":33783}],"description":"Probability basically tells you how often an event is likely to happen. For example, it's very likely that you'll encounter some probability questions on the GED Math test, so you should (probably) prepare for this.\r\n\r\nThe following practice questions are similar to what you'll run into: first, you have to calculate the probability of drawing a certain card from a 52-card deck; then, you put on an epidemiologist's hat and try to figure out the odds that a certain student is feeling under the weather during a class field trip.\r\nPractice questions\r\n\r\n\tIn drawing cards from a 52-card deck, any single card has an equal chance of being drawn. After six cards have been drawn and removed, what is the probability of drawing an ace of hearts if it has not yet been drawn?\r\n\r\nA. 1:50\r\nB. 1:48\r\nC. 1:46\r\nD. 1:44\r\n\r\nThe next question is based on the following situation:\r\nForty tenth grade social studies students are on a field trip, but many of the students don't feel well. Ten students are healthy, but each of the remaining thirty has a sore throat, a stomach virus, or both.\r\n\tIf a student is selected randomly from the whole group, what is the probability that he or she has a sore throat?\r\n\r\nA. .275\r\nB. .375\r\nC. .475\r\nD. .575\r\n\r\nAnswers and explanations\r\n\r\n\tThe correct answer is Choice (C).\r\n\r\nYou're asked to figure out the probability of an event occurring. If you had an entire deck of 52 cards, the probability of drawing an ace of hearts would be 1:52. If you remove 6 cards and none of them is the ace of hearts, you may as well have a 46-card deck (52 – 6). The probability of drawing an ace of hearts from a 46-card deck is 1:46.\r\n\tThe correct answer is Choice (B).\r\n\r\nTo calculate the probability that a random student will have a sore throat, divide the number of students that have a sore throat by the total number of students.\r\n\r\n\r\n","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null,"categoryList":["academics-the-arts","study-skills-test-prep","ged"],"title":"GED Math Practice Questions: Probability","slug":"ged-math-practice-questions-probability-2","articleId":241462},{"objectType":"article","id":254799,"data":{"title":"Applying Probability to Games of Chance","slug":"applying-probability-games-chance","update_time":"2018-07-30T19:40:07+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Business, Careers, & Money","slug":"business-careers-money","categoryId":34224},{"name":"Business","slug":"business","categoryId":34225},{"name":"Accounting","slug":"accounting","categoryId":34226},{"name":"Calculation & Analysis","slug":"calculation-analysis","categoryId":34229}],"description":"In a typical finite math course, you will have many opportunities to study games that involve chance—where you can’t control the play results, but you can be informed about the possibilities.\r\n\r\nThe following three examples use Bunco, a lottery, and a poker hand to explore these opportunities and their probabilities.\r\nBunco\r\nConsider the game of Bunco, where you roll three dice. What is the probability that you roll the three dice and get all fours?\r\n\r\nThe probability of rolling a four is 1/6. You have three dice involved, so to find the probability of all three rolls resulting in a four, use the multiplication property and get\r\n\r\n\r\n\r\nThis is about 0.5%. The chance is slight. If you’d be happy with having the three dice be the same, not caring about which number, then you add the six possibilities: either three ones, three twos, three threes, and so on:\r\n\r\n\r\n\r\nThis is about 3%—better than just fours but still not very likely.\r\nLottery\r\nYour state has a weekly lottery, and you really want to win the big prize. All you have to do is come up with the same six numbers that the machine on television does. You choose from the numbers 1 through 60. Your choice is based on your birthday: December 24, 1960, at 6:52 a.m. Your numbers will be 12, 24, 19, 60, 6, and 52. What are the chances you’ll win?\r\n\r\nFirst, you count up how many different ways the six numbers can be chosen. The order doesn’t matter—they put them in order after they’re drawn. To count the number of ways to choose 6 numbers from 60, you use the formula for combinations:\r\n\r\n\r\n\r\nThis comes out to be 50,063,860 different ways to choose the six numbers. Your chance of winning:\r\n\r\n\r\n\r\nNot looking good …\r\nPoker\r\nIf you’re a poker player, then you know that a flush is a good hand to have. If you don’t know anything about poker, don’t worry. This is fairly easy to describe.\r\n\r\nA poker player is dealt five cards. If all five are the same suit, then she has a flush. What is the chance of being dealt a flush? A deck of cards has four different suits (spades, hearts, diamonds, and clubs), and each suit has 13 different cards. So, a flush could be five spades, five hearts, five diamonds, or five clubs. This sounds much easier than six out of 60 numbers!\r\n\r\nTo find the probability of being dealt a flush, you count how many ways you can be dealt a flush and then divide that by how many different five-card hands are possible. The order doesn’t matter, so you use combinations.\r\n\r\nTo be dealt a flush in a suit, you need to have five of those 13 cards. So, using combinations,\r\n\r\n\r\n\r\nThere are four different suits to choose from, so multiply that result by 4 and get 5,148 different ways you can get a flush.\r\n\r\nNow, determine how many different five-card hands can be dealt. That’s a combination of 52 cards taken five at a time.\r\n\r\n\r\n\r\nDivide the number of ways you can get a flush by the total number of hands and you have\r\n\r\n\r\n\r\nor about 0.2% chance of being dealt a flush. Of course, with draw poker, you can try to improve your original hand if it isn’t what you want at first.","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null,"categoryList":["business-careers-money","business","accounting","calculation-analysis"],"title":"Applying Probability to Games of Chance","slug":"applying-probability-games-chance","articleId":254799},{"objectType":"article","id":158489,"data":{"title":"Using Probability to Calculate the Odds in the Game of Craps","slug":"using-probability-to-calculate-the-odds-in-the-game-of-craps","update_time":"2016-03-26T13:42:14+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Academics & The Arts","slug":"academics-the-arts","categoryId":33662},{"name":"Math","slug":"math","categoryId":33720},{"name":"Basic Math","slug":"basic-math","categoryId":33722}],"description":"Probability is the mathematics of deciding how likely an event is to occur. You can calculate the probability of an event by using the following formula:\n\nFor example, when you roll a single six-sided die, you can get six total outcomes: 1, 2, 3, 4, 5, or 6. Every time you add a die, the number of total outcomes is multiplied by 6. If you roll a pair of dice, for example, the number of total outcomes is 62 = 6 × 6 = 36, meaning every roll of the dice has a total of 36 possible outcomes. \nYou can use the formula for probability to calculate the probability of each possible roll. For example, suppose you want to calculate the probability of rolling an 11. You can make the target outcome in one of two ways: roll a 5-6 or roll a 6-5. So, plug 2 for target outcomes and 36 for total outcomes into the formula for probability:\n\nTherefore, the probability of rolling an 11 with two dice is 1/18.\nEvery roll of two dice has 36 total outcomes. This table shows how to calculate the probability of rolling each number with two dice.\n\n\nProbability for Each Roll, Using a Pair of Dice\n\n\nRoll\nTarget Outcomes\nProbability\nRoll\nTarget Outcomes\nProbability\n\n\n2\n1\n1/36\n8\n5\n5/36\n\n\n3\n2\n2/36 = 1/18\n9\n4\n4/36 = 1/9\n\n\n4\n3\n3/36 = 1/12\n10\n3\n3/36 = 1/12\n\n\n5\n4\n4/36 = 1/9\n11\n2\n2/26 = 1/18\n\n\n6\n5\n5/36\n12\n1\n1/36\n\n\n7\n6\n6/36 = 1/6\n\n\n\n\n\n\n\n\nYou can use probability to figure out the odds of winning and losing in the popular casino dice game of craps. In the game of craps, on your first roll (called the come out roll), three outcomes are possible:\n\n Natural: Rolling a total of 7 or 11 — automatically wins.\n \n Craps: Rolling a total of 2, 3, or 12 — automatically loses.\n \n Point: Rolling a 4, 5, 6, 8, 9, or 10 — establishes the point for the next round of rolling.\n \n","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null,"categoryList":["academics-the-arts","math","basic-math"],"title":"Using Probability to Calculate the Odds in the Game of Craps","slug":"using-probability-to-calculate-the-odds-in-the-game-of-craps","articleId":158489},{"objectType":"article","id":191352,"data":{"title":"How to Determine Likelihoods Using Basic Probability","slug":"how-to-determine-likelihoods-using-basic-probability","update_time":"2016-04-25T16:02:04+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Academics & The Arts","slug":"academics-the-arts","categoryId":33662},{"name":"Math","slug":"math","categoryId":33720},{"name":"Pre-Algebra","slug":"pre-algebra","categoryId":33726}],"description":"Probability is the mathematics of deciding how likely an event is to occur. It has a wide variety of applications in insurance, weather prediction, biological sciences, and even physics. For example,\r\n\r\n\t\r\nWhat’s the likelihood that the lottery ticket I bought will win?\r\n\r\n\t\r\nWhat’s the likelihood that my new car will need repairs before the warranty runs out?\r\n\r\n\t\r\nWhat’s the likelihood that more than 100 inches of snow will fall in Manchester, New Hampshire, this winter?\r\n\r\n\r\nThe probability that an event will occur is a fraction whose numerator (top number) and denominator (bottom number) are as follows:\r\n\r\n\r\n\r\nIn this case, a favorable outcome is simply an outcome in which the event you’re examining does happen. In contrast, a possible outcome is an outcome that can happen.\r\n\r\nFor example, suppose you want to know the probability that a tossed coin will land heads up. Notice that there are two possible outcomes (heads or tails), but only one of these outcomes is favorable — the outcome in which heads comes up. To find the probability of this event, make a fraction as follows:\r\n\r\n\r\n\r\nSo the probability that the coin will land heads up is 1/2.\r\n\r\nSo what’s the probability that when you roll a die, the number 3 will land face up? To figure this one out, notice that there are six possible outcomes (1, 2, 3, 4, 5, or 6), but in only one of these does 3 land face up. To find the probability of this outcome, make a fraction as follows:\r\n\r\n\r\n\r\nSo the probability that the number 3 will land face up is 1/6.\r\n\r\nAnd what’s the probability that if you pick a card at random from a deck, it’ll be an ace? To figure this out, notice that there are 52 possible outcomes (one for each card in the deck), but in only four of these do you pick an ace. So\r\n\r\n\r\n\r\nSo the probability that you’ll pick an ace is 4/52, which reduces to 1/13.\r\n\r\nProbability is always a fraction or decimal from 0 to 1. When the probability of an outcome is 0, the outcome is impossible. 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GED Math Practice Questions: Probability

Updated: 09-27-2022

From The Book: GED Mathematical Reasoning Test For Dummies

GED Mathematical Reasoning Test For Dummies

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The probability of a probability question appearing in the GED Mathematical Reasoning test, is, well, pretty good. If you get one, it will either ask you to calculate for simple (one-time) events or compound (two or more) events.

The following practice questions ask you to calculate the odds of drawing a certain number in a lottery, and of drawing a certain card from a deck.

Practice questions

Harry was interested in the lottery draws and compiled the following table of winning numbers.

Assuming that there are 49 possible numbers in the set to be drawn, what are your chances of drawing a 1 in your first draw?

A. 1 in 343

B. 3 in 343

C. 3 in 7

D. 1 in 49
The probability of an event taking place, P, is equal to the number of ways a particular event can occur, N, divided by the total number of ways, M, or

To test this theory, a student removes all the picture cards from a 52-card deck with 4 cards representing each of 1 to 10. What is the probability that a card less than the number 6 will be drawn? (Aces are low in this case.)

Answers and explanations

D. 1 in 49.

If there are 49 possible numbers that can be drawn and 1 is one of the possibilities, your chances are 1 in 49 to draw 1 in your first draw. The table is extra information, and if you read the question carefully, you would see that the answer is in the question and not in the table.
1 in 40.

With the picture cards removed, 40 cards remain. Twenty of those cards are less than 6. The odds of drawing a card with a value less than 6 is 1 in 40.

About This Article

This article is from the book:

GED Mathematical Reasoning Test For Dummies ,

About the book authors:

Murray Shukyn, an acknowledged Canadian leader in alternative education, has taught at the elementary, secondary, and university levels and created adult training programs. Achim Krull has taught at high school and adult levels, and has written textbooks, teachers' guides, and numerous other learning materials.

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