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In an entrance test there are multiple choice questions. There are four possible answers to each question, of which one is corret.The probability that a student know the answer to a question is 9/10.If he gets the correct answer to a question, then the probability that he was guessing is (post ur ans in Step by step understandable way)

In an entrance test there are multiple choice questions. There are four possible answers to each question, of which one is corret.The probability that a student know the answer to a question is 9/10.If he gets the correct answer to a question, then the probability that he was guessing is


(post ur ans in Step by step understandable way)

Grade:12th Pass

1 Answers

pratiksha agarwal
46 Points
7 years ago

E1=he guesses the answer

 E2=he knows the answer

 given P(E2)=9/10

 as they are mutually exclusive then P(E1)+P(E2)=1

 so P(E1)=1/10

 A=he answers correctly

 P(A/E1)=he guesses and answers correctly=1/4

 as there are 4 options and only one can be correct by guessing

 P(A/E2)=he gives correct answer as he knows the answer=1

  if one knows the answer he will obviously give correct answer

 now using baye''s theorem

 P(E1/A)=we know answer is correct and we have to take out probability that he guessed and gave correct answer=

 P(E1)*P(A/E1)/(P(E1)*P(A/E1)+P(E2)*P(A/E2))

 putting values one can find answer.

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