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Question: Three ships A, B and C sail from England to India. If the ratio of their arriving safely are 2:5, 3:...

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

A

18/595

B

6/17

C

3/10

D

2/7

Answer

18/595

Explanation

Solution

We have ratio of the ships A, B and C for arriving safely are 2:5, 3:7 and 6:11 respectively.

∴ The probability of ship A for arriving safely = 22+5=27\frac{2}{2 + 5} = \frac{2}{7}.

Similarly, for B = 33+7=310\frac{3}{3 + 7} = \frac{3}{10} and for C = 66+11=617\frac{6}{6 + 11} = \frac{6}{17}

∴ Probability of all the ships for arriving safely

= 27x310x617=18595\frac{2}{7}x\frac{3}{10}x\frac{6}{17} = \frac{18}{595}