Answer :

Let E_{1} be the event that A is selected in engineering college

and E_{2} be the event that B is selected in engineering college

Then, we have

P(E_{1}) = 0.5, P(E_{2}) = 0.7 and P(E_{1}⋂ E_{2}) ≤ 0.3

Now, P(E_{1}) × P(E_{2}) ≤ 0.3

⇒ 0.5 × P(E_{2}) ≤ 0.3

⇒ P(E_{2}) ≤ 0.6

But P(E_{2}) = 0.7

Hence, the given statement is **False**.

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