TS EAMCET · Maths · Probability
On an average nine out of 10 ships that have departed at \(A\) reach \(B\) safely. The probability that out of five ships that have departed at \(A\) atleast four will reach \(B\) safely is
- A \(14(0.9)^5\)
- B \(1.4(0.9)^5\)
- C \(0.14(0.9)^4\)
- D \(1.4(0.9)^4\)
Answer & Solution
Correct Answer
(D) \(1.4(0.9)^4\)
Step-by-step Solution
Detailed explanation
Let \(p\) denotes the ship departed at \(A\) reached \(B\) safely. Then, \[ \begin{array}{rlrl} & \text { Then, } & p & =\frac{9}{10}=0.9 \\ \therefore & & q=1-p=1-\frac{9}{10}=\frac{1}{10}=0.1 \end{array} \] Let \(X\) denotes the number of ships that departed at \(A\) and…
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