SOLUTION: A box contains 9 letters, shown as SEARCHING. What is the probability of the outcome HA in that order if 2 letters are drawn one by one (a) with replacement? (B) without replacem

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Question 1138799: A box contains 9 letters, shown as SEARCHING.
What is the probability of the outcome HA in that order if 2 letters are drawn one by one (a) with replacement? (B) without replacement?
(Type answers as simplified Fractions)
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

The word "SEARCHING" contains 9 different letters. 

(a)  Drawing with replacement, the probability to get "H" as the first letter is 1%2F9.

                               The probability to get "A" as the second letter is 1%2F9, too.


     Hence, the probability under the question is %281%2F9%29%2A%281%2F9%29 = 1%2F81.   ANSWER



(b)  Drawing without replacement, the probability to get "H" as the first letter is 1%2F9.

                               The probability to get "A" as the second letter is 1%2F8, however.


     Hence, the probability under the question is %281%2F9%29%2A%281%2F8%29 = 1%2F72.   ANSWER

Answered, solved and completed.