Q. 244.5( 4 Votes )

The probability that a certain person will buy a shirt is 0.2, the probability that he will buy a trouser is 0.3, and the probability that he will buy a shirt given that he will buy a trouser is 0.4. Find the probability that he will buy both a shirt and a trouser. Find also the probability that he will buy a trouser given that he buys a shirt.

Answer :

Let S= Shirt, T= Trouser


P(S) = 0.2 , P(T) = 0.3 and = 0.4


We need to find P(S T) and


We know, From given data, 0.4 = P (S T) / 0.3


P (S T) = = 0.12 (Answer).


Now we want,


= (answer)


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