Probability Ques 14
Question-
A bag contains 16 eggs out of which 5 are rotten. The remaining eggs are in good condition. If two eggs are drawn randomly, what is the probability that one of the eggs drawn is rotten?
(1) $\frac{11}{24}$
(2) $\frac{13}{24}$
(3) $\frac{5}{12}$
(4) $\frac{17}{24}$
(5) $\frac{7}{12}$
(IBPS Bank PO/MT CWE (Pre Exam), 16.10.2016 (First Sitting))
Show Answer
Correct Answer: (1)
Solution: (1)
Out of 16 eggs, 11 eggs are good and 5 eggs are rotten.
Total possible outcomes $=$ Selection of 2 eggs out of 16 eggs $=$ ${ }^{16} C_{2}$ $=\frac{16 \times 15}{1 \times 2}=120$
Total favourable outcomes $=$ Selection of 1 egg out of 11 good eggs and selection of 1 egg out of 5 rotten eggs $=11 \times 5=55$
Required probability $=\frac{55}{120}=\frac{11}{24}$
BETA
