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

Question

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

Infinity Learn · Accepted Answer

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) $$=$$ $$18/595$$.

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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