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A JEE aspirant estimates that he will be...

A JEE aspirant estimates that he will be successful with an 80% chance if he studies 10 hr/day with 60% chance if he studies 7hr/day and with 40% chance if he studies 4 hr/day. Further, he believes that he will study 10 hr, 7hr and 4 hr/day with probability 0.1, 0.2 and 0.7 respectively. Given that he is successful, the probability that he studies for 4 hr/day equals.

A

`(14)/(19)`

B

`(1)/(4)`

C

`(7)/(12)`

D

`(2)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
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