1. 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 exactly one of the eggs drawn is rotten ?
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By: anil on 05 May 2019 01.35 am
Out of the 16 eggs, 5 eggs are rotten and 11 eggs are in good condition. According to the question, out of the two eggs drawn one is rotten and the other is in good condition. Hence, required probability = $$ frac{^5C_{1} * ^{11}C_{1}}{^{16}C_{2}} = frac{5*11}{16*15/2} = frac{11}{24}$$ Hence, option A is the right choice.
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