State whether the statement are True or False.The probability that a

1.	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.
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.

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.

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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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.

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