Statistics And Probability Question 135
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
[Pb. CET 2000]
Options:
A) $ \frac{18}{595} $
B) $ \frac{6}{17} $
C) $ \frac{3}{10} $
D) $ \frac{2}{7} $
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Answer:
Correct Answer: A
Solution:
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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 $ =\frac{2}{2+5}=\frac{2}{7} $ Similarly, for $ B=\frac{3}{3+7}=\frac{3}{10} $ and for C = $ \frac{6}{6+11}=\frac{6}{17} $
$ \therefore $ Probability of all the ships for arriving safely = $ \frac{2}{7}\times \frac{3}{10}\times \frac{6}{17}=\frac{18}{595} $ .
BETA
