Probability Question 237

Question: If the probability of X to fail in the examination is 0.3 and that for Y is 0.2, then the probability that either X or Y fail in the examination is

[IIT 1989]

Options:

A) 0.5

B) 0.44

C) 0.6

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Here $ P(X)=0.3; $

$ P(Y)=0.2 $ Now $ P(X\cup Y)=P(X)+P(Y)-P(X\cap Y) $

Since these are independent events, so $ P(X\cap Y)=P(X).P(Y) $

Thus required probability $ =0.3+0.2-0.06=0.44 $ .