Probability Ques 35

Question-

A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at random from the bag, one after another, what is the probability that the first ball is red and the second ball is yellow?

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

(2) $\frac{1}{7}$

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

(4) $\frac{6}{7}$

(5) $\frac{8}{7}$

IBPS RRBs Officer CWE (Prelim Exam) 17.08.2019

Show Answer

Correct Answer: (2)

Solution: (2)

Required probability $=\frac{{ }^{6} C_{1}}{{ }^{22} C_{1}} \times \frac{{ }^{11} C_{1}}{{ }^{21} C_{1}}$ $=\frac{6}{22} \times \frac{11}{21}=\frac{1}{7}$