SOLUTION: A bag contains 9 tomatoes of which one is rotten A sample of 3 Tomatoes is selected at random What is the probability that the sample contains the Rotten Tomato?

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Question 1138787: A bag contains 9 tomatoes of which one is rotten
A sample of 3 Tomatoes is selected at random
What is the probability that the sample contains the Rotten Tomato?

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

The number of all different samples of 3 tomatoes from 9 tomatoes is  C%5B9%5D%5E3 = %289%2A8%2A7%29%2F%281%2A2%2A3%29 = 84.


It is your space of samples.


The number of triples containing one rotten tomato is  C%5B8%5D%5E2 = %288%2A7%29%2F%281%2A2%29 = 28.


      It is the number of pairs of tomatoes what you can add from remaining 9-1 = 8 tomatoes to this one rotten.



So the probability under the question is  28%2F84 = 1%2F3.   ANSWER