If an event has a probability of success p and a probability of failure q , then each term inthe expansion of(p+q)ⁿ represents a probability. For example , if a basketball player makes 60% of his free throw attempts , p= 0.6 and q= 0.4. To find the probability the basketball player will make exactly h out of k free throws, find  where  a coefficient of row k of Pascal’s triangle is, p is the probability of success, and q is the probability of failure.

The correct answer is: C_(k-h) (0.6)^h (0.4)^(k-h)

ANSWER:
Hint:
The binomial expansion is ,
We are asked to find the probability that the player will make exactly h out of k free throws, hence find .
Step 1 of 2:
The given binomial expansion is (p + q) ,where p is the probability of success and q is the probability of failure.
The value of p=0.6 and the value of q=0.4. Thus, we have:

Step 2 of 2:
Making h throws out of k free throws, we get it as:

Note:
Probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.