There are 50 mangoes in a basket, 20 of which are unripe. Another basket contains 40 mangoes, with 15 unripe. If we take one mango from each basket, what is the probability of both being ripe?

The correct option is B

$\frac{3}{8}$

We can choose a pair of mangoes in $50\times 40=2000$ ways.

The first basket has 50 - 20 = 30 ripe mangoes.

The second basket has 40 - 15 = 25 ripe mangoes.

Each ripe mango from the first basket paired with a ripe mango from the second gives $30\times 25=750$ pairs.

So, the probability of both being ripe = $\frac{750}{2000}$$=\frac{3}{8}$.