SOLUTION: A basketball player can make a basket 4/7 times. What is the probability that in the next 12 shots he will make..... a) Exactly 7 baskets b) At least 3 baskets

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Question 1141871: A basketball player can make a basket 4/7 times. What is the probability that in the next 12 shots he will make.....
a) Exactly 7 baskets
b) At least 3 baskets
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
a) Exactly 7 baskets

%284%2F7%29%5E7+%2A+%283%2F7%29%5E5+%2A+%2812%21%2F%287%21%2A5%21%29%29 = 0.22781

b) At least 3 baskets

Figure out the probability of getting exactly 2, 1, and 0 baskets, then subtract the results from 1.

Probability of scoring exactly 2 baskets: %284%2F7%29%5E2+%2A+%283%2F7%29%5E10+%2A+%2812%21%2F%282%21%2A10%21%29%29 = 0.00451
Probability of scoring exactly 1 baskets: %284%2F7%29%5E1+%2A+%283%2F7%29%5E11+%2A+%2812%21%2F%281%21%2A11%21%29%29 = 0.00061
Probability of scoring exactly 0 baskets: %283%2F7%29%5E12 = 0.00004

1 - 0.00451 - 0.00061 - 0.00004 = 0.99484