Q. 30

State whether the statements are True or False

The probability that a person visiting a zoo will see the giraffe is 0.72, the probability that he will see the bears is 0.84 and the probability that he will see both is 0.52.

Answer :

Let E1 = Event person will see the giraffe

and E2 = Event person will see the bear

Then, we have

P(E1) = 0.72 and P(E2) = 0.84

P(person will see both giraffe and bear) = 0.52

By General Addition Rule,

P(A B) = P(A) + P (B) – P(A B)

P(E1 E2) = P(E1) + P(E2) – P(E1 E2)

= 0.72 + 0.84 – 0.52

= 1.04 ≠ 0.52

Hence, the given statement is False.

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