Statistics And Probability Question 229

Question: 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

[EAMCET 1990]

Options:

A) $ \frac{2}{3} $

B) $ \frac{3}{5} $

C) $ \frac{1}{3} $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

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