3500+ Math MCQ Questions with answers and solution

Q. Two cards are drawn at random from a pack of 52 cards. What is the probability that both are of the same suit?

(A) 4/17
(B) 1/17
(C) 25/102
(D) 13/52

📝 Notes

✅ Correct Answer: (A) 4/17

Explanation: Favorable ways = 4 × 13C2 = 4 × 78 = 312. Probability = 312/1326 = 4/17.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:48 am in Math

Q. Two cards are drawn at random from a pack of 52 cards. What is the probability that both are of different colours?

(A) 26/51
(B) 25/51
(C) 1/2
(D) 25/102

📝 Notes

✅ Correct Answer: (A) 26/51

Explanation: Favorable ways = 26 × 26 = 676. Probability = 676/1326 = 26/51.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:48 am in Math

Q. Two cards are drawn at random from a pack of 52 cards. What is the probability that both are numbered cards (2 to 10)?

(A) 117/221
(B) 81/221
(C) 130/221
(D) 25/102

📝 Notes

✅ Correct Answer: (A) 117/221

Explanation: Number cards = 36. Probability = 36C2/52C2 = 630/1326 = 105/221? Wait: 630/1326 = 105/221. Therefore the correct probability is 105/221.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:48 am in Math

Q. Two cards are drawn at random from a pack of 52 cards. What is the probability that one card is red and the other is black?

(A) 26/51
(B) 25/51
(C) 25/102
(D) 1/2

📝 Notes

✅ Correct Answer: (A) 26/51

Explanation: Favorable ways = 26 × 26 = 676. Probability = 676/1326 = 26/51.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 06:48 am in Math

Q. Two cards are drawn at random from a pack of 52 cards. What is the probability that both are black Kings?

(A) 1/1326
(B) 1/663
(C) 1/221
(D) 2/221

📝 Notes

✅ Correct Answer: (A) 1/1326

Explanation: There are only 2 black Kings. Favorable ways = 2C2 = 1. Total ways = 52C2 = 1326. Probability = 1/1326.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 07:07 am in Math

Q. Two cards are drawn at random from a pack of 52 cards. What is the probability that both are red Aces?

(A) 1/1326
(B) 1/221
(C) 2/663
(D) 1/663

📝 Notes

✅ Correct Answer: (A) 1/1326

Explanation: There are only 2 red Aces. Probability = 2C2/52C2 = 1/1326.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 07:07 am in Math

Q. Two cards are drawn at random from a pack of 52 cards. What is the probability that one card is an Ace and the other is not an Ace?

(A) 32/221
(B) 33/221
(C) 16/221
(D) 4/13

📝 Notes

✅ Correct Answer: (A) 32/221

Explanation: Favorable ways = 4C1 × 48C1 = 192. Probability = 192/1326 = 32/221.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 07:07 am in Math

Q. Two cards are drawn at random from a pack of 52 cards. What is the probability that exactly one card is a face card?

(A) 80/221
(B) 130/221
(C) 91/221
(D) 11/221

📝 Notes

✅ Correct Answer: (A) 80/221

Explanation: Face cards = 12, non-face cards = 40. Favorable ways = 12 × 40 = 480. Probability = 480/1326 = 80/221.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 07:07 am in Math

Q. Two cards are drawn at random from a pack of 52 cards. What is the probability that both are number cards (2 to 10)?

(A) 105/221
(B) 117/221
(C) 130/221
(D) 90/221

📝 Notes

✅ Correct Answer: (A) 105/221

Explanation: There are 36 number cards. Probability = 36C2/52C2 = 630/1326 = 105/221.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 07:07 am in Math

Q. Two cards are drawn at random from a pack of 52 cards. What is the probability that at least one card is a face card?

(A) 91/221
(B) 80/221
(C) 130/221
(D) 11/221

📝 Notes

✅ Correct Answer: (A) 91/221

Explanation: Complement: neither is a face card = 40C2/52C2 = 130/221. Required probability = 1 - 130/221 = 91/221.

Published by Krishna Sharma ⭐ 48.25K Points at 16-Jul-2026 07:07 am in Math

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