SOLUTION: You order sixteen burritos to go from a Mexican restaurant, eight with hot peppers and eight without. However, the restaurant forgot to label them. If you pick five burritos at ran

Algebra ->  Probability-and-statistics -> SOLUTION: You order sixteen burritos to go from a Mexican restaurant, eight with hot peppers and eight without. However, the restaurant forgot to label them. If you pick five burritos at ran      Log On


   



Question 1181310: You order sixteen burritos to go from a Mexican restaurant, eight with hot peppers and eight without. However, the restaurant forgot to label them. If you pick five burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
All have hot peppers.

Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
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The probability to select 1st hot pepper of 8 hot peppers among 16 burritos is  8%2F16.


The probability to select 2nd hot pepper of remaining 7 hot peppers among remaining 15 burritos is  7%2F15.


The probability to select 3rd hot pepper of remaining 6 hot peppers among remaining 14 burritos is  6%2F14.


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


    P = %288%2F16%29%2A%287%2F15%29%2A%286%2F14%29%2A%285%2F13%29%2A%284%2F12%29.



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


The rest is just arithmetic.