Q. A bag contains 7 white and 5 black balls. Two balls are drawn without replacement. What is the probability that both are black?

  • (A) 5/33
  • (B) 11/66
  • (C) 25/132
  • (D) 5/22
πŸ“ Notes
βœ… Correct Answer: (A) 5/33
Explanation: Probability = (5/12) × (4/11) = 20/132 = 5/33.

Q. Three fair coins are tossed together. What is the probability of getting exactly two Heads?

  • (A) 3/8
  • (B) 1/4
  • (C) 1/2
  • (D) 5/8
πŸ“ Notes
βœ… Correct Answer: (A) 3/8
Explanation: Favorable outcomes are HHT, HTH, and THH. Thus, probability = 3/8.

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

  • (A) 1/13
  • (B) 1/26
  • (C) 1/52
  • (D) 2/13
πŸ“ Notes
βœ… Correct Answer: (B) 1/26
Explanation: There are 2 black Aces in a deck of 52 cards. Probability = 2/52 = 1/26.

Q. Two fair dice are thrown together. What is the probability that the sum is 9?

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

Q. A bag contains 8 red and 2 green balls. One ball is drawn. What is the probability that it is not green?

  • (A) 1/5
  • (B) 3/5
  • (C) 4/5
  • (D) 2/5
πŸ“ Notes
βœ… Correct Answer: (C) 4/5
Explanation: Not green means red. Probability = 8/10 = 4/5.

Q. Two fair dice are thrown together. What is the probability that both numbers are odd?

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

Q. A die is thrown twice. What is the probability that both throws show numbers greater than 4?

  • (A) 1/9
  • (B) 1/6
  • (C) 2/9
  • (D) 1/3
πŸ“ Notes
βœ… Correct Answer: (A) 1/9
Explanation: Numbers greater than 4 are 5 and 6. Probability = (2/6) × (2/6) = 1/9.

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

  • (A) 3/13
  • (B) 1/4
  • (C) 4/13
  • (D) 1/13
πŸ“ Notes
βœ… Correct Answer: (A) 3/13
Explanation: There are 12 face cards (J, Q, K). Probability = 12/52 = 3/13.

Q. Two fair coins are tossed. What is the probability of getting at least one Tail?

  • (A) 1/4
  • (B) 1/2
  • (C) 3/4
  • (D) 1
πŸ“ Notes
βœ… Correct Answer: (C) 3/4
Explanation: Using complement: P(no Tail) = P(HH) = 1/4. Required probability = 1 - 1/4 = 3/4.

Q. A bag contains 5 red, 4 blue and 3 green balls. One ball is drawn. What is the probability of drawing a green ball?

  • (A) 1/4
  • (B) 1/3
  • (C) 3/12
  • (D) Both option1 and option3
πŸ“ Notes
βœ… Correct Answer: (D) Both option1 and option3
Explanation: Probability = 3/12 = 1/4. Both options represent the same value.

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