Probability Ques 16
Question-
A bag contains 24 eggs out of which 8 are rotten. The remaining eggs are not rotten. The two eggs are selected at random, What is the probability that one of the eggs is rotten?
(1) $\frac{11}{23}$
(2) $\frac{17}{23}$
(3) $\frac{13}{23}$
(4) $\frac{32}{69}$
(5) $\frac{39}{46}$
(IBPS Bank PO/MT (Pre.) Exam, 23.10.2016)
Show Answer
Correct Answer: (4)
Solution: (4)
Total possible outcomes $=$ selection of 2 eggs out of 24 eggs
$ =\frac{24 \times 23}{1 \times 2}=276 $
Total favourable outcomes $=$ Selection of 1 egg out of 16 good eggs and that of 1 egg out of 8 rotten eggs $={ }^{16} C_{1} \times{ }^{8} C_{1}$ $=16 \times 8=128$
$\therefore$ Required probability $=\frac{128}{276}$ $=\frac{32}{69}$
BETA
