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Q: A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail

  • 1
    1/3
  • 2
    2/3
  • 3
    2/5
  • 4
    4/15
  • Show Answer
  • Workspace

Answer : 1. "1/3"
Explanation :

Answer: A) 1/3 Explanation: Here Sample space S = { HH, HT, T1, T2, T3, T4, T5, T6 }   Let A be the event that the die shows a number greater than 4 and B be the event that the first throw of the coin results in a tail then,    A = { T5, T6 }    B = { T1, T2, T3, T4, T5, T6 }   Therefore, Required probability = PAB=PA∩BPB=2868=13

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