A) 0.5
B) 0.75
C) 0.6
D) None of these
Correct Answer: D
Solution :
[d] There are two cases when Abhay will say? No? Case (i) the number that come out is a prime and Abhay is not speaking truth, probability for this case is \[P(P)\times P(T').\] Here P (P) = probability of getting a prime =3/6=1/2=0.5 P (T) is probability that abhay is speaking truth and P (T) \[=0.6soP(T')=0.4\] So probability for this case is \[0.5\times 0.4=0.2\] Case (ii) the number that come out is not a prime and abhay is speaking truth, probability for this case is\[P(P')\times P(T)=0.5\times 0.6=0.3\]. So total probability for the given case is 0.3+0.2=0.5. New sample space is 0.5 and we have to find the probability of case (i) which is 0.2/0.5=0.4.You need to login to perform this action.
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