Q35 of 43 Page 296

State whether the statements 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.

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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