Q31 of 43 Page 296

State whether the statements are True or False

The probability that a student will pass his examination is 0.73, the probability of the student getting a compartment is 0.13, and the probability that the student will either pass or get compartment is 0.96.

Let A = Event that student will pass examination

and B = Event that student will get compartment


Then, we have


P(A) = 0.73, P(B) = 0.13 and P(A ⋃ B) =0.96


Now, we have to find P(A ⋂ B)


By General Addition Rule, we have


P(A ⋃ B) = P(A) + P (B) – P(A ⋂ B)


⇒ P(A ⋃ B) = 0.73 + 0.13 – 0


[∵ A and B are independent events]


⇒ P(A ⋃ B) = 0.86


But P(A ⋃ B) = 0.96


Hence, the given statement is False.


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