Probability Question 61
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}. $