Probability Ques 3
Question-
There are 6 red balls, 5 yellow and 3 pink balls in an bag. Two balls are drawn at random. What is the probability that none of the drawn balls is of red colour?
(1) $\frac{8}{13}$
(2) $\frac{7}{13}$
(3) $\frac{6}{13}$
(4) $\frac{5}{13}$
(5) $\frac{4}{13}$
(IBPS Bank PO/MT CWE-V (Preliminary) 10.10.2015 Ist Sitting)
Show Answer
Correct Answer: (5)
Solution: (5)
Total number of balls in the bag $=6+5+3=14$
Total possible outcomes $=$ Selection of 2 balls out of 14 balls $={ }^{14} C_{2}$ $=\frac{14 \times 13}{1 \times 2}=91$
The drawn balls are not of red colour.
Total favourable outcomes $=$ Selection of 2 balls out of remaining 8 balls $={ }^{8} C_{2}=\frac{8 \times 7}{1 \times 2}=28$
$\therefore$ Required probability $=\frac{28}{91}=\frac{4}{13}$
BETA
