Lesson: Using Permutations to Find Probability Mathematics • 12th Grade

In this lesson, we will learn how to find the probability of an event by calculating the number of outcomes using permutation.

Lesson Plan

Students will be able to

calculate the probability in a real-world problem using permutations where
- the order does not matter and there are no repetitions,
- the order does not matter and there are repetitions,
- the order does matter and there are no repetitions,
- the order does matter and there are repetitions,
calculate the probability in a real-world problem using circular permutations, with and without repetition.

Lesson Explainer

Lesson Playlist

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Lesson Worksheet

Q1:

Ethan, Jacob, and three of their coworkers each take the bus to work. If they each have an equal chance of arriving first, determine the probability of Jacob arriving first and Ethan arriving second.

Q2:

A small combination padlock can be opened by entering three different specified numbers from 1 to 9 in a specified order. Benjamin has 10 attempts to guess the combination. Determine the probability of him opening the lock.

Q3:

Two people are chosen randomly from a group of 602. What is the probability that Liam was selected first and Matthew second?