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      Question

      A game consists of tossing three coins once and then

      rolling two dice. Find the probability of getting exactly one tail in the coin toss and a sum equal to 11 on the dice.
      A 1/48 Correct Answer Incorrect Answer
      B 3/64 Correct Answer Incorrect Answer
      C 2/81 Correct Answer Incorrect Answer
      D 1/12 Correct Answer Incorrect Answer
      E 1/36 Correct Answer Incorrect Answer

      Solution

      For tossing 3 coins: Total number of possible outcomes = 23 = 8 Number of favourable outcomes = 3 (HHT, HTH, THH) So, probability of getting exactly one tail while tossing three coins = (3/8) For rolling 2 dice: Total number of possible outcomes = 6 × 6 = 36 Number of favourable outcomes = 2 [(5,6), (6,5)] So, Probability of getting a sum equal to 11 while rolling 2 dice = (2/36) = (1/18) Required probability = (3/8) × (1/18) = 1/48

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