Question 1168268
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Starting with AT LEAST 2 A's means starting with 3 A's, or starting with 2 A's with some different letter third.<br>
P(AAA...) = (3/9)(2/8)(1/7) = 1/84<br>
P(AAX...) (X NOT the third A) = (3/9)(2/8)(6/7) = 6/84 = 1/14<br>
P(start with AT LEAST 2 A's) = 1/84+6/84 = 7/84 = 1/12<br>
It is faster if your thinking is "first 2 letters A and ANY letter third":<br>
P(AA?) = (3/9)(2/8)(7/7) = 1/12<br>