Question 1181310
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The probability to select 1st hot pepper of 8 hot peppers among 16 burritos is  {{{8/16}}}.


The probability to select 2nd hot pepper of remaining 7 hot peppers among remaining 15 burritos is  {{{7/15}}}.


The probability to select 3rd hot pepper of remaining 6 hot peppers among remaining 14 burritos is  {{{6/14}}}.


By continuing this reasoning, you get, finally, the formula of 5 factors


    P = {{{(8/16)*(7/15)*(6/14)*(5/13)*(4/12)}}}.



The most important part in the solution of this problem is to construct this logic and this formula.


The rest is just arithmetic.
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