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There is an in class prize pool with 100 students of which 7 winners will be selected you are friends with 12 students what is probability 3 of 7 winners is your friend 

 Jun 14, 2021
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The total number of outcomes is C(100, 7). The number of outcomes wherein there are 3 friends and 4 non-friends is C(12, 3) times C(88, 4). So the probility of having 3 friends selected is

                                                                                                     \(\frac{C(12, 3)\times C(88,4)}{C(100, 7)}\).

 Jun 15, 2021

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