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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 E1, E2, E be the events that the student knows the answer, guesses the answer and answers correctly respectively.Based on the above information, answer the following1. What is the value of P(E1)?a. 2/5b. 1/3c. 1d. 3/52. Value of P(E | E1) isa. 1/3b. 1c. 2/3d. 4153. \(\sum^{k=2}_{k=1}\) P(E|Ek ) P(Ek)  Equalsa. 11/15b. 4/15c. 1/5d. 14. Value of \(\sum_{k=1}^{k=2}\) P(Ek)a. 1/3b. 1/5c. 1d. 3/55. What is the probability that the student knows the answer given that he answered it correctly?a. 2/11b. 5/3c. 9/11d. 13/3

Answer»

1. (d) 3/5

2. (b) 1

3. (a) 11/15

4. (c) 1

5. (c) 9/11



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