Q. 64.4( 47 Votes )

There are three c

Answer :

Given: let E1 be the event of choosing a two headed coin, E2 be the event of choosing a biased coin and E3 be the event of choosing an unbiased coin. Let A be the event that the coin shows head.

Then P (E1) = P (E2) = P (E3) = 1/3


As we a headed coin has head on both sides so it will shows head.


Also P(A|E1) = P (correct answer given that he knows) = 1


And P(A|E2) = P (coin shows head given that the coin is biased)


And P(A|E3) = P (coin shows head given that the coin is unbiased)


Now the probability that the coin is two headed, being given that it shows head, is P(E1|A).


By using bayes’ theorem, we have:







Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A bag A contains RD Sharma - Volume 2

The contents of tRD Sharma - Volume 2

A girl throws a dMathematics - Board Papers

Three urns contaiRD Sharma - Volume 2

Two groups are coMathematics - Board Papers

The contents of tRD Sharma - Volume 2

Suppose a girl thMathematics - Board Papers

There are three cMathematics - Board Papers

Given three identMathematics - Board Papers