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  • 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.

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.

Answers (1)

Let us consider that,

E1 → event that person see the giraffe

E2 → event that person see the bear

We have,

P (E1) = 0.72

& P (E2) = 0.84

P (person will see giraffe as well as bear) = 0.52

Now, P (A U B) = P (A) + P (B) – P (A ∩ B)        ……. (by general addition rule)

P (E1 U E2) = P (E1) + P (E2) – P (E1 ∩ E2)

                        = 0.72 + 0.84 – 0.52

                        = 1.04 viz. not possible

Thus, the given statement is false.

Posted by

infoexpert22

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