SOLUTION: The probability that a civil servant owns a car is 1/6. If two civil servant are selected at random. find the probability that: (i) each owns a car; (ii) only one owns a car.

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Question 1151941: The probability that a civil servant owns a car is 1/6. If two civil servant are selected at random. find the probability that:
(i) each owns a car;
(ii) only one owns a car.
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

(i)   P = %281%2F6%29%2A%281%2F6%29 = 1%2F36.



(ii)  P = %281%2F6%29%2A%285%2F6%29 + %285%2F6%29%2A%281%2F6%29 = 5%2F36+%2B+5%2F36 = 10%2F36 = 5%2F18.


      Or, counting it by another way,  P = 1%2F6 + 1%2F6 - 1%2F36 - 1%2F36 = 6%2F36 + 6%2F36 - 1%2F36 - 1%2F36 = %286%2B6-1-1%29%2F36 = 10%2F36 = 5%2F18.


      giving the same answer.

Solved.

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The formulas are SELF-EXPLANATORY.