# Probability using combinatorics

14 videos

1 skill

This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability. You'll finally learn that there may be better "investments" than poring all your money into the Powerball Lottery.

### Example: Probability through counting outcomes

VIDEO
2:09 minutes

The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes.

### Example: All the ways you can flip a coin

VIDEO
2:14 minutes

Manually going through the combinatorics to determine the probability of an event occuring

### Getting exactly two heads (combinatorics)

VIDEO
10:00 minutes

A different way to think about the probability of getting 2 heads in 4 flips

### Probability using combinations

VIDEO
9:10 minutes

Probability of getting exactly 3 heads in 8 flips of a fair coin.

### Exactly three heads in five flips

VIDEO
6:51 minutes

Probability of exactly 3 heads in 5 flips using combinations

### Example: Different ways to pick officers

VIDEO
2:23 minutes

Thinking about the different ways we can pick officers in order to find the probability of one situation in particular.

### Example: Lottery probability

VIDEO
5:10 minutes

What is the probability of winning a 4-number lottery?

### Mega millions jackpot probability

VIDEO
5:30 minutes

Probability of winning the Mega Millions jackpot

### Generalizing with binomial coefficients (bit advanced)

VIDEO
11:40 minutes

Conceptual understanding of where the formula for binomial coefficients come from

### Conditional probability and combinations

VIDEO
16:52 minutes

Probability that I picked a fair coin given that I flipped 4 out of 6 heads.

### Birthday probability problem

VIDEO
13:16 minutes

The probability that at least 2 people in a room of 30 share the same birthday.

### Probability with permutations and combinations

PRACTICE PROBLEMS

Probability questions using permutations and combinations of objects