Probability Ques 9

Question-

There are 9 red, 7 white and 4 black balls in a bag. A bag contains 7 blue balls and 5 yellow balls. If two balls are selected at random, what is the probability that none is yellow?

(1) $\frac{5}{33}$

(2) $\frac{5}{22}$

(3) $\frac{7}{22}$

(4) $\frac{7}{33}$

(5) $\frac{7}{66}$

Show Answer

Correct Answer: (1)

Solution: (1)

Total possible outcomes $={ }^{52} C_{1}=52$

Favourable outcomes $=2={ }^{2} C_{2}$

$\therefore$ Required probability $=\frac{2}{52}=\frac{1}{26}$