Three ships `A ,B ,a n dC` 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`

Options

A. `18//595`
B. `6//17`
C. `3//10`
D. `2//7`

Answer

A

Explanation

The ration of the ships A, B and C for arriving safely are `2:5,3:7,and 6:11,` respectively. Therefore 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 seafly is `(2//7)xx(3//10)xx(6//17)=18//895.`
Therefore, the probability of all the ships for arriving safely is
`(2//7)xx(3//10)xx(6//17)=18//595.`