State whether the statement are True or False.The probability of an o

1.	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.
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.

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.

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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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.

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