Answer :

Let E1 be the event that A is selected in engineering college

and E2 be the event that B is selected in engineering college


Then, we have


P(E1) = 0.5, P(E2) = 0.7 and P(E1 E2) ≤ 0.3


Now, P(E1) × P(E2) ≤ 0.3


0.5 × P(E2) ≤ 0.3


P(E2) ≤ 0.6


But P(E2) = 0.7


Hence, the given statement is False.


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