InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
In answering a question on a multiple choice test, a student either knows the answer or guesses. Let `3/4`be the probability that he knows the answer and `1/4`be the probability that he guesses. Assuming that a student who guesses at the answer with probability 1/4. what is the probability that the student knows the answer given that he answers correctly.? |
|
Answer» Probablity student knows the answer, `P(A) = 3/4` Probablity student knows the answer, `P(B) = 1/4` Probablity of correct answer when student knows the answer,`P(C/A)= 1` Probablity of correct answer when student guesses the answer,`P(C/B)= 1/4` So, probablity student gives answer correctly, when he knows the answer, `P(A/C) = (P(A)*P(C/A))/(P(A)*P(C/A))+(P(B)*P(C/B))` `=(3/4*1)/((3/4)+(1/4)(1/4))=(3/4)/(13/16)=12/13` |
|