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ioda
2 years ago
8

9 out of 10 people at a game are rooting for the home team. What is the probability that exactly 6 of 8 people sitting together

are rooting for the home team?
Mathematics
1 answer:
scZoUnD [109]2 years ago
7 0

A random supporter roots the home team with probability 0.9, and the away team with probability 0.1.

Choosing 6 out of 8 supporters who root for the home team has probability

\displaystyle\binom{8}{6}\cdot 0.9^6\cdot 0.1^2 = 28\cdot0.531441\cdot 0.01=0.14

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