Probability Ques 4
Question-
A bag contains 4 red, 5 yellow and 6 pink balls. Two balls are drawn at random. What is the probability that none of the balls drawn are yellow in colour?
(1) $\frac{1}{7}$
(2) $\frac{3}{7}$
(3) $\frac{2}{7}$
(4) $\frac{5}{14}$
(5) $\frac{9}{14}$
(IBPS Bank PO/MT CWE-V (Preliminary) 10.10.2015)
Show Answer
Correct Answer: (2)
Solution: (2)
Total number of balls in the bag $=4+5+6=15$
Total possible outcomes $=$ Selection of 2 balls out of 15 balls $={ }^{15} C_{2}=\frac{15 \times 14}{1 \times 2}=105$
Total favourable outcomes $=$ Selection of 2 balls out of 4 orange and 6 pink balls $={ }^{10} C_{2}=\frac{10 \times 9}{1 \times 2}=45$
$\therefore$ Required probability $=\frac{45}{105}=\frac{3}{7}$
BETA
