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

  • (A) 1/221
  • (B) 2/221
  • (C) 4/221
  • (D) 6/221
πŸ“ Notes
βœ… Correct Answer: (A) 1/221
Explanation: Probability = 4C2/52C2 = 6/1326 = 1/221.

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

  • (A) 25/102
  • (B) 1/2
  • (C) 1/4
  • (D) 13/52
πŸ“ Notes
βœ… Correct Answer: (A) 25/102
Explanation: Probability = 26C2/52C2 = 325/1326 = 25/102.

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

  • (A) 11/221
  • (B) 3/13
  • (C) 1/17
  • (D) 1/13
πŸ“ Notes
βœ… Correct Answer: (A) 11/221
Explanation: There are 12 face cards. Probability = 12C2/52C2 = 66/1326 = 11/221.

Q. Two cards are drawn at random from a pack of 52 cards. What is the probability that one is an Ace and the other is a King?

  • (A) 8/663
  • (B) 1/221
  • (C) 4/221
  • (D) 16/221
πŸ“ Notes
βœ… Correct Answer: (A) 8/663
Explanation: Favorable ways = 4C1 × 4C1 = 16. Probability = 16/1326 = 8/663.

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

  • (A) 8/663
  • (B) 1/221
  • (C) 16/221
  • (D) 2/221
πŸ“ Notes
βœ… Correct Answer: (A) 8/663
Explanation: Favorable ways = 4 × 4 = 16. Probability = 16/1326 = 8/663.

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

  • (A) 3/221
  • (B) 5/221
  • (C) 1/17
  • (D) 11/221
πŸ“ Notes
βœ… Correct Answer: (A) 3/221
Explanation: Red face cards = 6. Probability = 6C2/52C2 = 15/1326 = 5/442 = 3/221.

Q. Two cards are drawn at random from a pack of 52 cards. What is the probability that neither card is a face card?

  • (A) 130/221
  • (B) 155/221
  • (C) 121/221
  • (D) 190/221
πŸ“ Notes
βœ… Correct Answer: (A) 130/221
Explanation: Non-face cards = 40. Probability = 40C2/52C2 = 780/1326 = 130/221.

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

  • (A) 33/221
  • (B) 17/221
  • (C) 1/13
  • (D) 4/221
πŸ“ Notes
βœ… Correct Answer: (A) 33/221
Explanation: Use complement: 1 - (48C2/52C2) = 1 - 1128/1326 = 198/1326 = 33/221.

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

  • (A) 33/221
  • (B) 34/221
  • (C) 1/13
  • (D) 17/221
πŸ“ Notes
βœ… Correct Answer: (A) 33/221
Explanation: Use complement: 1 - (48C2/52C2) = 33/221.

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

  • (A) 55/221
  • (B) 25/102
  • (C) 11/221
  • (D) 1/4
πŸ“ Notes
βœ… Correct Answer: (A) 55/221
Explanation: Use inclusion-exclusion: (26C2 + 4C2 - 2C2)/52C2 = (325 + 6 - 1)/1326 = 330/1326 = 55/221.

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