A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die i...........

Quantitative Aptitude ( CCS) Probability

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.

2/3

1/4

2/5

1/3

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Explanation:

S = { HH, HT, T1, T2, T 3, T 4, T 5, 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, T 3, T 4, T 5, T6 }
Then P=P(A and B)/P(B)=(2/8)/(6/8)=1/3.

Hence, option 4 is the correct answer.