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25. Probability question bank (Mathematics)

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Q1.

The three ships namely $A$,$B$ and $C$ sail from India to Africa. If the odds in favour of the ships reaching safely are $2:5$,$3:7$ and $6:11$ respectively,then the probability of all of them arriving safely is

(A)

$\frac{18}{595}$

(B)

$\frac{11}{34}$

(C)

$\frac{196}{217}$

(D)

$\frac{1}{595}$

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Q2.

There are three events $A, B, C$,one of which must and only one can happen. The odds are $8:3$ against $A$,$5:2$ against $B$,and the odds against $C$ are $43:17k$. Then the value of $k$ is:

(A)

$\frac{1}{2}$

(B)

$2$

(C)

$\frac{1}{3}$

(D)

$\frac{1}{4}$

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