Answer:
0.2771
Step-by-step explanation:
This is a binomial probability question. "Makes" is what some writers call a "success." In the binomial probability distribution, the probability of r successes in n trials is
[tex]\binom{n}{r}p^r(1-p)^{n-r}[/tex]
p is the probability of "success." [tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex]
In this problem, n = 12, r = 10, p = 0.87 (the 87%).
The probability of exactly 10 made shots out of 12 attempted is
[tex]\binom{12}{10}(0.87)^10(1-0.87)^2 =66(0.87^10)(0.13)^2 \approx 0.2771[/tex]
