Answer:
0.0268.
Step-by-step explanation:
This question can be solved using the binomial theorem.
Total attempts = n = 11
Required attempts = r = 5
Probability of success = p = 3/4 = 0.75
Binomial Theorem formula:
P(X=r) = nCr * p^r * (1-p)^(n-r).
Substituting the values:
P(X=5) = 11C5 * 0.75^5 * 0.25^6 = 0.0268 (to the nearest 3 significant figures).
So the probability that exactly 5 free throws are made out of 11 is 0.0268!!!
