Question

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?

• A. $\frac{1}{8}$
• B. $\frac{3}{8}$
• C. $\frac{1}{2}$
• D. 0

Answer 1

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}$.