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In answering a question on a multiple choice test for class XII, a student either knows the answer or guesses. Let 3/5 be the probability that he knows the answer and 2/5 be the probability that he guesses. Assume that a student who guesses at the answer will be correct with probability 1/3. Let `E_1, E_2`, E be the events that the student knows the answer, guesses the answer and answers correctly respectively.

Based on the above information, answer the following
What is the value of P(`E_(1)`)?

A

`2//5`

B

`1//3`

C

1

D

`3//5`

Text Solution

Verified by Experts

The correct Answer is:
D
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