Three mangoes and three apples are in a box. If two fruits are chosen at random, probability that on

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14.Probability

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Three mangoes and three apples are in a box. If two fruits are chosen at random, the probability that one is a mango and the other is an apple is

A

$\frac{2}{3}$

B

$\frac{3}{5}$

C

$\frac{1}{3}$

D

None of these

Solution

(b) Required probability $ = \frac{{{}^3{C_1} \times {}^3{C_1}}}{{{}^6{C_2}}} = \frac{{3 \times 3}}{{15}} = \frac{3}{5}.$

Standard 11

Mathematics

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