Theorems of probability
Question
A, B, and C are three ships sail from England to India. If the ratio of their arriving safely are 2:5, 3:7, and 6:11, respectively, then the probability of all the ships for arriving safely is
Moderate
Solution
The ratios of the ships A, B, and C for arriving safely are 2:5, 3:7, and 6:11, respectively. Therefore, the probability of ship A for arriving safely is 2/(2 + 5) = 2/7.
Similarly, for B the probability is 3/(3 + 7) = 3/10 and for C the probability is C = 6/(6 + 11) = 6/17.
Therefore, the probability of all the ships for arriving safely is (2/7) x (3/10) x (6/17) = 18/595.
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