Probability Ques 2
Question-
A bag contains 5 red balls, 7 yellow balls and 3 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) $\frac{5}{12}$
(2) $\frac{3}{8}$
(3) $\frac{1}{4}$
(4) $\frac{1}{8}$
(5) $\frac{1}{6}$
(IBPS Bank PO/MT CWE-V (Preliminary) 04.10.2015)
Show Answer
Correct Answer: (5)
Solution: (5)
Probability of the first ball to be red $=\frac{{ }^{5} C_{1}}{{ }^{15} C_{1}}=\frac{5}{15}=\frac{1}{3}$
Probability of the second ball to be yellow $=\frac{{ }^{7} C_{1}}{{ }^{14} C_{1}}=\frac{7}{14}=\frac{1}{2}$
$\therefore$ Required probability $=\frac{1}{3} \times \frac{1}{2}=\frac{1}{6}$
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