Arithmetic Ability
 Probability

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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

View Answer

Correct choice: A

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 = P(AB)=P(A∩B)P(B)=2/8/6/8/=1/3
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