A box contains N coins, m of which arc fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2 , while it is 2/3 when a biased coin is tossed. A coin is drawnfrom the box at random and it is tossed twice. The first time it shows head and the second time it shows tail. The probability that the coin is fair is

JEE Mains Model Paper 21

Question : 72 of 90

Marks: +1, -0

A box contains N coins, m of which arc fair and the rest are biased. The probability of getting a head when a fair coin is tossed is

, while it is

when a biased coin is tossed. A coin is drawnfrom the box at random and it is tossed twice. The first time it shows head and the second time it shows tail. The probability that the coin is fair is

8m
8N+m
m
8N+m
9N
8N+m
9m
8N+m

Validate

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