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Questions and Answers
What is the probability of randomly selecting 3 cereal boxes from 10, where 5 are made by General Mills and all 3 selected are General Mills?
What is the probability of randomly selecting 3 cereal boxes from 10, where 5 are made by General Mills and all 3 selected are General Mills?
How many different ways can you choose 3 cereal boxes from 10 different types if you cannot pick two of the same type?
How many different ways can you choose 3 cereal boxes from 10 different types if you cannot pick two of the same type?
At the school cafeteria, 4 boys and 3 girls are forming a lunch line. If the boys must stand in the first two and last two positions, how many different lines can be formed?
At the school cafeteria, 4 boys and 3 girls are forming a lunch line. If the boys must stand in the first two and last two positions, how many different lines can be formed?
John is picking out his clothes. If he has 6 different shirts, 4 pairs of pants, and 8 socks, and an outfit consists of 1 shirt, 1 pair of pants and 2 socks, how many different outfit combinations are possible?
John is picking out his clothes. If he has 6 different shirts, 4 pairs of pants, and 8 socks, and an outfit consists of 1 shirt, 1 pair of pants and 2 socks, how many different outfit combinations are possible?
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A bank issues 4-digit customer ID codes using digits 0 through 9. How many unique codes are possible?
A bank issues 4-digit customer ID codes using digits 0 through 9. How many unique codes are possible?
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A restaurant menu has 4 first courses, 5 second courses, and 2 desserts. How many different meals can you create by selecting one of each?
A restaurant menu has 4 first courses, 5 second courses, and 2 desserts. How many different meals can you create by selecting one of each?
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A restaurant offers 5 appetizers, 5 entrees, and 4 desserts. How many ways are there to order a fixed-price special dinner, consisting of one of each?
A restaurant offers 5 appetizers, 5 entrees, and 4 desserts. How many ways are there to order a fixed-price special dinner, consisting of one of each?
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A bank issues 3-letter customer ID codes, using letters that can only be used once per code. How many unique codes are possible?
A bank issues 3-letter customer ID codes, using letters that can only be used once per code. How many unique codes are possible?
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How many arrangements are possible for 10 distinct items taken 4 at a time, if one particular item is always included?
How many arrangements are possible for 10 distinct items taken 4 at a time, if one particular item is always included?
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What is the total number of distinct arrangements possible for the letters in the word 'DOGMATIC'?
What is the total number of distinct arrangements possible for the letters in the word 'DOGMATIC'?
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If 3 ladies and 3 gentlemen are seated at a round table, with the condition that exactly two ladies always sit together, in how many ways can this be arranged?
If 3 ladies and 3 gentlemen are seated at a round table, with the condition that exactly two ladies always sit together, in how many ways can this be arranged?
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In how many ways can 7 boys sit at a round table if two particular boys must always sit together?
In how many ways can 7 boys sit at a round table if two particular boys must always sit together?
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What is the probability of drawing a spade or an ace from a standard deck of 52 cards?
What is the probability of drawing a spade or an ace from a standard deck of 52 cards?
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A jar contains 5 red, 3 blue, and 2 green marbles. Two marbles are drawn with replacement. What is the probability that both are red?
A jar contains 5 red, 3 blue, and 2 green marbles. Two marbles are drawn with replacement. What is the probability that both are red?
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How many ways can 7 girls form a ring?
How many ways can 7 girls form a ring?
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If the letters of the word 'DAUGHTER' are arranged so that the vowels always occupy odd places, how many different words can be formed?
If the letters of the word 'DAUGHTER' are arranged so that the vowels always occupy odd places, how many different words can be formed?
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A box contains 4 red, 5 blue, and 7 yellow balls. If two balls are drawn without replacement, what is the probability that both are yellow?
A box contains 4 red, 5 blue, and 7 yellow balls. If two balls are drawn without replacement, what is the probability that both are yellow?
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A deck of 52 cards is shuffled and two cards are drawn. What is the probability that both cards are of the same suit?
A deck of 52 cards is shuffled and two cards are drawn. What is the probability that both cards are of the same suit?
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How many ways can the letters of the word 'TRIANGLE' be arranged so that the word 'ANGLE' is always present?
How many ways can the letters of the word 'TRIANGLE' be arranged so that the word 'ANGLE' is always present?
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How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, and 4, without repeating any digit?
How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, and 4, without repeating any digit?
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A box contains 5 apples, 3 oranges, and 4 bananas. If three fruits are drawn without replacement, what is the probability that they are all apples?
A box contains 5 apples, 3 oranges, and 4 bananas. If three fruits are drawn without replacement, what is the probability that they are all apples?
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A die is rolled twice. What is the probability that the sum of the numbers rolled is greater than 8?
A die is rolled twice. What is the probability that the sum of the numbers rolled is greater than 8?
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A classroom contains 6 boys and 9 girls. If two students are selected at random, what is the probability that both students are girls?
A classroom contains 6 boys and 9 girls. If two students are selected at random, what is the probability that both students are girls?
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A card is drawn at random from a standard deck of 52 cards. What is the probability that the card is a face card (Jack, Queen, or King)?
A card is drawn at random from a standard deck of 52 cards. What is the probability that the card is a face card (Jack, Queen, or King)?
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What is the probability of forming a committee of exactly 3 men and 2 women from a group of 6 men and 4 women?
What is the probability of forming a committee of exactly 3 men and 2 women from a group of 6 men and 4 women?
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A lottery has 10 prizes and 90 blanks. What is the probability of drawing a ticket that wins a prize?
A lottery has 10 prizes and 90 blanks. What is the probability of drawing a ticket that wins a prize?
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If a coin is tossed 3 times, what is the probability of getting at least one head?
If a coin is tossed 3 times, what is the probability of getting at least one head?
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Two dice are rolled. What is the probability that the product of the numbers rolled is even?
Two dice are rolled. What is the probability that the product of the numbers rolled is even?
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A jar contains 8 red, 7 blue, and 5 yellow marbles. If three marbles are drawn without replacement, what is the probability that all three are red?
A jar contains 8 red, 7 blue, and 5 yellow marbles. If three marbles are drawn without replacement, what is the probability that all three are red?
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A school is composed of 60% boys and 40% girls. If you randomly select a student, what is the probability of selecting a boy or a girl?
A school is composed of 60% boys and 40% girls. If you randomly select a student, what is the probability of selecting a boy or a girl?
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A card is drawn randomly from a standard 52-card deck. What is the probability of drawing either a queen or a heart?
A card is drawn randomly from a standard 52-card deck. What is the probability of drawing either a queen or a heart?
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A batch of cookies includes 10% that are burnt. If you randomly select 12 cookies, what is the probability that none are burnt?
A batch of cookies includes 10% that are burnt. If you randomly select 12 cookies, what is the probability that none are burnt?
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A box contains 144 pens, and 20 are defective. If a pen is selected at random, what is the probability it is not defective?
A box contains 144 pens, and 20 are defective. If a pen is selected at random, what is the probability it is not defective?
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A batsman hits 6 boundaries in 30 balls. What is the probability that in a given ball he won't hit a boundary?
A batsman hits 6 boundaries in 30 balls. What is the probability that in a given ball he won't hit a boundary?
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A number is chosen randomly from the first 50 natural numbers. What is the probability it is a multiple of both 3 and 4?
A number is chosen randomly from the first 50 natural numbers. What is the probability it is a multiple of both 3 and 4?
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If $x$ is chosen from the set {-2, -1, 0, 1, 2}, what is the probability that $x^2$ is less than or equal to 4?
If $x$ is chosen from the set {-2, -1, 0, 1, 2}, what is the probability that $x^2$ is less than or equal to 4?
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A dice is thrown twice. What is the probability the product of the two numbers is even?
A dice is thrown twice. What is the probability the product of the two numbers is even?
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If two dice are thrown, what is the probability of getting an even number on one die and an odd number on the other?
If two dice are thrown, what is the probability of getting an even number on one die and an odd number on the other?
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If the probability of winning a game is 0.3, what is the probability of losing the game?
If the probability of winning a game is 0.3, what is the probability of losing the game?
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What is the probability of rolling a 1 and then a 5 when a fair six-sided die is thrown once?
What is the probability of rolling a 1 and then a 5 when a fair six-sided die is thrown once?
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What is the probability of randomly selecting a ball that is neither red nor green from a box containing 8 red, 7 blue, and 6 green balls?
What is the probability of randomly selecting a ball that is neither red nor green from a box containing 8 red, 7 blue, and 6 green balls?
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If the probability of a husband being selected for a job is 1/7 and for his wife it is 1/5, what is the probability that only one of them is selected?
If the probability of a husband being selected for a job is 1/7 and for his wife it is 1/5, what is the probability that only one of them is selected?
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When two dice are rolled, what is the probability that the total score is a prime number?
When two dice are rolled, what is the probability that the total score is a prime number?
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In a lottery with 10 prizes and 25 blanks, what is the probability of drawing a prize?
In a lottery with 10 prizes and 25 blanks, what is the probability of drawing a prize?
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What is the probability of drawing two cards from a pack of 52 such that both cards are black or both are queens?
What is the probability of drawing two cards from a pack of 52 such that both cards are black or both are queens?
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From tickets numbered 1 to 20, what is the probability that the drawn ticket is a multiple of 3 or 5?
From tickets numbered 1 to 20, what is the probability that the drawn ticket is a multiple of 3 or 5?
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Three students have chances of solving a problem as 1/2, 1/3, and 1/4 respectively. What is the probability that the problem will be solved?
Three students have chances of solving a problem as 1/2, 1/3, and 1/4 respectively. What is the probability that the problem will be solved?
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What is the probability of Rachel flipping two heads with her biased coin if the probability of flipping two heads is 0.16?
What is the probability of Rachel flipping two heads with her biased coin if the probability of flipping two heads is 0.16?
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Description
Test your knowledge in combinatorial mathematics with this quiz. It covers various probability and combination problems, from selecting cereal boxes to forming lunch lines and calculating outfit combinations. Perfect for students looking to strengthen their understanding of counting principles.
