AP EAMCET · Maths · Probability
One out of 9 ships is likely to sink, when they are set on sail. When 6 ships are set on sail, the probability that exactly 3 of them will not arrive safely is
- A \(1-\frac{1}{9^6}\)
- B \({ }^6 \mathrm{C}_3 \frac{8^3}{9^6}\)
- C \(\frac{25 \times 8^3}{9^5}\)
- D \({ }^6 \mathrm{C}_3 \frac{8}{9^6}\)
Answer & Solution
Correct Answer
(B) \({ }^6 \mathrm{C}_3 \frac{8^3}{9^6}\)
Step-by-step Solution
Detailed explanation
Here, \(p=\frac{1}{9} \Rightarrow q=1-\frac{1}{9}=\frac{8}{9}\) When out of 6 ships exactly 3 will not arrive safely then 3 will arrive safely. So, the required probability is…
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