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GMAT Probability — practice questions

Explore 104 free Probability questions in GMAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Probability questions and exercises with answers

Showing questions 1–30 of 104.

The probability of drawing a king from a standard deck of 52 cards is:Read the answer and worked solution →Two dice are thrown. Probability of getting a sum of 7:Read the answer and worked solution →A fair die is rolled once. What is the chance of getting a prime number?Read the answer and worked solution →Two fair coins are tossed together. Find the chance of two heads.Read the answer and worked solution →A fair coin is flipped three times. Chance of at least one head?Read the answer and worked solution →Two fair dice are thrown together. Chance that the sum is 7?Read the answer and worked solution →Two dice are rolled. What is the probability of a total of 9?Read the answer and worked solution →A pair of fair dice is thrown. The chance of a total of 12 isRead the answer and worked solution →Two dice are rolled together. Chance that both numbers are odd?Read the answer and worked solution →Three fair dice are rolled once. Chance of three sixes?Read the answer and worked solution →Four fair coins are tossed. Chance that all four show tails?Read the answer and worked solution →A card is drawn from a well-shuffled deck of 52. Chance of a king?Read the answer and worked solution →One card is picked from a pack of 52. Chance that it is red?Read the answer and worked solution →A card is drawn at random from a full pack. Chance of a face card?Read the answer and worked solution →From a standard pack of 52 a card is drawn. Chance of a heart?Read the answer and worked solution →One card is taken from a pack of 52. Probability of a red king?Read the answer and worked solution →A card is drawn from 52. Chance of the ace of spades?Read the answer and worked solution →A card is drawn from a pack of 52. Chance it is neither king nor queen?Read the answer and worked solution →A card is selected from a deck of 52. Chance of a card numbered 2 to 10?Read the answer and worked solution →A bag holds 5 red, 3 blue and 2 green balls. Chance of drawing red?Read the answer and worked solution →A box has 3 red, 4 blue and 5 yellow marbles. Chance of a non-yellow one?Read the answer and worked solution →A number is picked from 1 to 20. Chance that it is a multiple of 3?Read the answer and worked solution →One of the numbers 1 to 30 is chosen. Chance it is divisible by 5?Read the answer and worked solution →A ticket is drawn from 1 to 12. Chance of an odd prime number?Read the answer and worked solution →A letter is chosen from MATHEMATICS. Chance that it is a vowel?Read the answer and worked solution →A letter is picked from the word PROBABILITY. Chance of the letter B?Read the answer and worked solution →A non-leap year is chosen. Chance that it has 53 Sundays?Read the answer and worked solution →The probability of an impossible event isRead the answer and worked solution →Which of these values can NOT be the probability of an event?Read the answer and worked solution →If P(A) = 0.35, what is the probability that A does not occur?Read the answer and worked solution →

Worked practice questions

The probability of drawing a king from a standard deck of 52 cards is:

  1. 1/13
  2. 1/52
  3. 4/13
  4. 1/4
Show answer and solution

Correct answer: A. 1/13

1. A standard deck has 52 cards, 4 of which are kings. 2. Probability = favourable / total = 4/52. 3. Simplify = 1/13. _Source: KMAT Karnataka 2022 PYQ Q.70_

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Two dice are thrown. Probability of getting a sum of 7:

  1. 1/6
  2. 1/8
  3. 5/36
  4. 7/36
Show answer and solution

Correct answer: A. 1/6

1. Total outcomes = 6 × 6 = 36. 2. Favourable (sum 7): (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) = 6 pairs. 3. P = 6/36 = 1/6. _Source: KMAT Karnataka 2022 PYQ Q.71_

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A fair die is rolled once. What is the chance of getting a prime number?

  1. 1/6
  2. 1/2
  3. 2/3
  4. 1/3
Show answer and solution

Correct answer: B. 1/2

The primes 2, 3 and 5 are three of the six equally likely faces, giving 3/6 = 1/2.

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More Quantitative Aptitude topics

Permutations and CombinationsAlgebraModern MathematicsQuantitative AptitudeData InterpretationAveragesInterestProfit and Loss