3500+ Math MCQ Questions with answers and solution

Q. Three fair dice are thrown together. What is the probability that all three show 6?

(A) 1/36
(B) 1/216
(C) 1/108
(D) 1/18

📝 Notes

✅ Correct Answer: (B) 1/216

Explanation: Probability = (1/6) × (1/6) × (1/6) = 1/216.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:10 am in Math

Q. A die is thrown once. What is the probability of not getting 1?

(A) 1/6
(B) 5/6
(C) 2/3
(D) 1/2

📝 Notes

✅ Correct Answer: (B) 5/6

Explanation: There are 5 favorable outcomes (2, 3, 4, 5, 6). Probability = 5/6.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:10 am in Math

Q. Two fair dice are thrown together. What is the probability that the sum is less than 5?

(A) 1/6
(B) 5/36
(C) 1/9
(D) 7/36

📝 Notes

✅ Correct Answer: (A) 1/6

Explanation: Possible sums less than 5 are 2, 3 and 4 with 1 + 2 + 3 = 6 outcomes. Probability = 6/36 = 1/6.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:10 am in Math

Q. A bag contains 9 balls numbered 1 to 9. One ball is drawn. What is the probability that the number drawn is divisible by 3?

(A) 1/3
(B) 2/9
(C) 4/9
(D) 1/9

📝 Notes

✅ Correct Answer: (A) 1/3

Explanation: Numbers divisible by 3 are 3, 6, and 9. Probability = 3/9 = 1/3.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:10 am in Math

Q. Two fair dice are thrown together. What is the probability that the sum is 10?

(A) 1/12
(B) 1/9
(C) 5/36
(D) 1/6

📝 Notes

✅ Correct Answer: (A) 1/12

Explanation: The favorable outcomes are (4,6), (5,5), and (6,4). Thus, probability = 3/36 = 1/12.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:13 am in Math

Q. A card is drawn from a standard deck of 52 cards. What is the probability of drawing a red face card?

(A) 3/26
(B) 3/13
(C) 1/13
(D) 1/26

📝 Notes

✅ Correct Answer: (A) 3/26

Explanation: There are 6 red face cards (J, Q, K of Hearts and Diamonds). Probability = 6/52 = 3/26.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:13 am in Math

Q. A bag contains 5 red, 4 blue and 3 green balls. One ball is drawn. What is the probability that it is neither red nor blue?

(A) 1/4
(B) 1/3
(C) 3/10
(D) 1/6

📝 Notes

✅ Correct Answer: (A) 1/4

Explanation: Only green balls satisfy the condition. Probability = 3/12 = 1/4.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:13 am in Math

Q. A die is rolled twice. What is the probability that the sum of the numbers obtained is 7?

(A) 1/6
(B) 5/36
(C) 1/9
(D) 1/12

📝 Notes

✅ Correct Answer: (A) 1/6

Explanation: The favorable outcomes are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). Probability = 6/36 = 1/6.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:13 am in Math

Q. A bag contains 6 white and 4 black balls. Two balls are drawn without replacement. What is the probability that both are white?

(A) 1/3
(B) 2/5
(C) 5/12
(D) 4/15

📝 Notes

✅ Correct Answer: (A) 1/3

Explanation: Probability = (6/10) × (5/9) = 30/90 = 1/3.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:13 am in Math

Q. Three coins are tossed simultaneously. What is the probability of getting exactly one Head?

(A) 1/8
(B) 3/8
(C) 1/2
(D) 5/8

📝 Notes

✅ Correct Answer: (B) 3/8

Explanation: Favorable outcomes are HTT, THT, and TTH. Probability = 3/8.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:13 am in Math

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