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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