Probability Ques 11

Question-

There are 9 red, 7 white and 4 black balls in an bag.

If two balls are selected at random what is the probability that one ball is white and the other ball is red?

(1) $\frac{91}{190}$

(2) $\frac{63}{190}$

(3) $\frac{5}{19}$

(4) $\frac{4}{95}$

(5) $\frac{71}{190}$

Show Answer

Correct Answer: (2)

Solution: (2)

Total possible outcomes $=190$

Favourable outcomes $=$ Selection of 1 ball out of 9 red balls and 1 ball from 7 white balls $={ }^{9} C_{1} \times{ }^{7} C_{1}=9 \times 7=63$

$\therefore$ Required probability $=\frac{63}{190}$