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A bag contains 24 eggs out of which 8 are rotten. The remaining eggs are not rotten eggs. The two eggs are selected at random, What is the…

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A bag contains 24 eggs out of which 8 are rotten. The remaining eggs are not rotten eggs. The two eggs are selected at random, What is the probability that one of the eggs is rotten?
  • A$$\frac{11}{23}$$
  • B$$\frac{17}{23}$$
  • C$$\frac{13}{23}$$
  • D$$\frac{11}{17}$$
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0
CCommunity
Solution
Number of rotten eggs = 8
Number of non-rotten eggs = 16
Required probability = $\frac{^8C_1 . ^{16}C_1}{^{24}C_2} + \frac{^8C_2}{^{24}C_2}$
= $\frac{8 \times 16 + 28}{276}$
= $\frac{13}{23}$
0
CCommunity
Solution
Number of rotten eggs = 8
Number of non-rotten eggs = 16
Required probability = $\frac{^8C_1 . ^{16}C_1}{^{24}C_2} + \frac{^8C_2}{^{24}C_2}$
= $\frac{8 \times 16 + 28}{276}$
= $\frac{13}{23}$