SOLUTION: During the war one truck out of nine was destroyed due to bombardment. What was the probability that exactly three out of six trucks would arrive safely ?

Question 1190737: During the war one truck out of nine was destroyed due to bombardment. What was the probability that exactly three out of six trucks would arrive safely ?
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
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During the war one truck out of nine was destroyed due to bombardment.
What was the probability that exactly three out of six trucks would arrive safely ?
~~~~~~~~~~~~~~

It is a typical binomial distribution problem.


The probability of the success (arrive safely) in each single trial is 1/9 = 0.111111.


The number of trials is  n= 6;  the number of successful trials is  k= 3.


The formula for the probability is


    P(n= 6; k= 3; p= 0.111111) =  =  = 0.019268316,  or  0.01927  (rounded).    ANSWER

Solved.

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