Question

Approximately 20% of all applicants to a college program are accepted. Suppose you and your two best friends apply. What is the probability that all three of you are accepted?

Answer 1

The probability that all three of you are accepted is 0.04 (or 4%).

Answer 2

Answer: The probability that one person is accepted is 0.20. Since the acceptance of one person is independent of the acceptance of another person, we can multiply the probabilities of each event to find the probability that all three people are accepted.

P(all three accepted) = P(person 1 accepted) * P(person 2 accepted) * P(person 3 accepted)

P(all three accepted) = 0.20 * 0.20 * 0.20

P(all three accepted) = 0.008 or approximately 0.8%

Therefore, the probability that all three of you are accepted is approximately 0.8%.

Explanation: