Question

At a golf shop, 58% of customers buy a sleeve of golf balls with their round of golf. Only 23% of customers buy golf balls and tees with their round of golf. What is the probability that a customer who buys golf balls will also buy tees?

Answer 1

The probability that a customer who buys golf balls will also buy tees is approximately 0.3966, or 39.66%, calculated using the formula for conditional probability.

Step-by-step explanation:

To find the probability that a customer who buys golf balls will also buy tees, we use the given percentages. It is stated that 58% of customers buy a sleeve of golf balls, and 23% of customers buy both golf balls and tees. We want to calculate the conditional probability of a customer buying tees given that they have bought golf balls.

The formula for conditional probability is P(A|B) = P(A and B) / P(B), where P(A|B) is the probability of event A occurring given that event B has occurred, P(A and B) is the probability of both events A and B occurring, and P(B) is the probability of event B occurring.

Let's denote buying golf balls as event B and buying both golf balls and tees as event A and B. The probability P(A and B) is 23% or 0.23, and P(B) is 58% or 0.58. Plugging into the formula, we get:

P(A|B) = P(A and B) / P(B) = 0.23 / 0.58 = 0.3966

Therefore, the probability that a customer who buys golf balls will also buy tees is approximately 0.3966, or 39.66%.