Three ships A, B, and C 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
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a
18595
b
617
c
310
d
27
answer is A.
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Detailed 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) - 217.Similarly, for B the probability is 3(3 + 7) = 3110 and for C the probability is C= 6 (6 + 1 1) = 6/17 .Therefore, the probability of all the ships for arriving safely is (2/7) x (3/10) x (6/17) = 18/595.