Q. 285.0( 1 Vote )

A girl throws a d

Answer :

Let A1 be when the girl gets 5 or 6 and hence tosses a coin 3 times.


Let A2 be when the girl gets 1, 2, 3 or 4 and hence tosses a coin 2 times and A be when the girl gets exactly two heads.


P (A1) = P (5 or 6) = P (5) + P (6)




P (A2) = P (1, 2, 3 or 4) = P (1) + P (2) + P (3) + P (4)




And


Here n = 3;


sample space = {HHH, HTH, HHT, THH, HTT, THT, TTH, TTT}


And


Here n = 2;


Sample space = {HH, HT, TH, TT}


By Bayes’ Theorem,






Probability that the girl threw 1, 2, 3 or 4 with the die is 4/7.


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