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State whether the statement are True or False.

The probability of an occurrence of event A is .7 and that of the occurrence of event B is .3 and the probability of occurrence of both is .4.

1 Answer

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Best answer

Given:

P(occurrence of event A) = 0.7

P(occurrence of event B) = 0.3

and P(occurrence of both) = 0.4

We know that,

P(A  B) = P(A) × P(B)

[when A and B are independent events]

⇒ P(A ⋂ B) = 0.7 × 0.3

⇒ P(A ⋂ B) = 0.21

But given that P(A ⋂ B) = 0.4

Hence, the given statement is False.

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