Q. A card is drawn from a pack of 52 cards. What is the probability of drawing a card of the suit Spades?

  • (A) 1/2
  • (B) 1/4
  • (C) 1/13
  • (D) 3/13
πŸ“ Notes
βœ… Correct Answer: (B) 1/4
Explanation: There are 13 Spades in a standard deck. Probability = 13/52 = 1/4.

Q. Two fair dice are thrown together. What is the probability that the difference of the numbers is 2?

  • (A) 1/6
  • (B) 2/9
  • (C) 5/18
  • (D) 1/9
πŸ“ Notes
βœ… Correct Answer: (B) 2/9
Explanation: Favorable outcomes are (1,3), (2,4), (3,5), (4,6), (3,1), (4,2), (5,3), and (6,4). Probability = 8/36 = 2/9.

Q. A die is thrown three times. What is the probability of getting no odd number?

  • (A) 1/8
  • (B) 1/4
  • (C) 3/8
  • (D) 5/8
πŸ“ Notes
βœ… Correct Answer: (A) 1/8
Explanation: Even numbers are 2, 4 and 6. Probability = (3/6)^3 = (1/2)^3 = 1/8.

Q. A bag contains 3 red and 5 blue balls. Two balls are drawn with replacement. What is the probability that both are blue?

  • (A) 25/64
  • (B) 15/64
  • (C) 5/16
  • (D) 9/64
πŸ“ Notes
βœ… Correct Answer: (A) 25/64
Explanation: Probability = (5/8) × (5/8) = 25/64.

Q. A card is drawn from a standard deck of 52 cards. What is the probability of drawing a card which is neither a King nor a Queen?

  • (A) 11/13
  • (B) 10/13
  • (C) 9/13
  • (D) 12/13
πŸ“ Notes
βœ… Correct Answer: (A) 11/13
Explanation: There are 4 Kings and 4 Queens. Favorable cards = 52 - 8 = 44. Probability = 44/52 = 11/13.

Q. Two fair coins are tossed. What is the probability of getting the same face on both coins?

  • (A) 1/2
  • (B) 1/4
  • (C) 3/4
  • (D) 2/3
πŸ“ Notes
βœ… Correct Answer: (A) 1/2
Explanation: Favorable outcomes are HH and TT. Probability = 2/4 = 1/2.

Q. A bag contains 10 balls numbered 1 to 10. One ball is drawn. What is the probability that the number is a multiple of 4?

  • (A) 1/5
  • (B) 3/10
  • (C) 2/5
  • (D) 1/4
πŸ“ Notes
βœ… Correct Answer: (A) 1/5
Explanation: Multiples of 4 are 4 and 8. Probability = 2/10 = 1/5.

Q. Two fair dice are thrown together. What is the probability that at least one die shows an even number?

  • (A) 3/4
  • (B) 1/2
  • (C) 2/3
  • (D) 5/6
πŸ“ Notes
βœ… Correct Answer: (A) 3/4
Explanation: Use complement. Probability that both dice show odd numbers = (3/6) × (3/6) = 1/4. Required probability = 1 - 1/4 = 3/4.

Q. A bag contains 5 red, 5 blue and 5 green balls. One ball is drawn. What is the probability that it is not green?

  • (A) 1/3
  • (B) 2/3
  • (C) 1/2
  • (D) 4/5
πŸ“ Notes
βœ… Correct Answer: (B) 2/3
Explanation: Non-green balls = 10 out of 15. Probability = 10/15 = 2/3.

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

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

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