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

Question

State whether the statement 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. Select the correct answer from above options

Answer 1

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.