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Question

If the probability of X to fail in the examination is0.3 and that for Y is 0.2, then the probability that either X or Y fail in the examination is


A

0.5

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B

0.44

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C

0.6

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D

noneofthese

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Solution

The correct option is B

0.44


Explanation for correct option :

Find the the probability that either X or Y fail in the examination is :

The probability that X fails in the exam =0.3

The probability that Y fails in the exam =0.2

The probability that either X or Y fails in the exam, P(XUY)

We know that P(XUY)=P(X)+P(Y)-P(XY)

As, X and Y are independent events, then,P(XY)=P(X).P(Y)

P(XUY)=P(X)+P(Y)-P(XY)P(XUY)=0.3+0.2(0.3)(0.2)P(XUY)=0.50.06P(XUY)=0.44.

Hence option (B) is correct.


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