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 1/5. Let E
, 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 )?
Value of P(E | E 1 ) is
∑_(k=1) (k = 2) P(E│E k ) P(E k ) Equal
Value of ∑_(k = 1) (k = 2) P(E k )
What is the probability that the student knows the answer given that he answered it correctly?