what is the probability she passes exactly one course

by Mrs. Sienna Hauck 3 min read

Full Answer

What is the probability the student will pass the history course?

The probability the student will pass the history course is .60, and the probab SOLUTION: Please solve this question for me. Thank you! A student is taking two courses, history and math.

What is the probability of “at least one student prefers math”?

P (at least one student prefers math) = 1 – (.96)3 = .1153. This matches the answer that we got using the three-step process above. Use the following examples as additional practice for finding the probability of “at least one” success.

How to find the probability of at least one success?

P (at least one prefers math) = 1 – P (all do not prefer math) = 1 – .8847 = .1153. It turns out that we can use the following general formula to find the probability of at least one success in a series of trials:

What is the probability that he answers at least one incorrectly?

The probability that he answers at least one incorrectly is 0.578. Use this calculator to automatically find the probability of “at least one” success, based on the probability of success in a given trial and the total number of trials.

Example 1: Free-Throw Attempts

Mike makes 20% of his free-throw attempts. If he attempts 5 free-throws, find the probability that he makes at least one.

Example 2: Widgets

At a given factory, 2% of all widgets are defective. In a random sample of 10 widgets, find the probability that at least one is defective.

Example 3: Trivia Questions

Bob answers 75% of trivia questions correctly. If we ask him 3 trivia questions, find the probability that he answers at least one incorrectly.

image