Exploring Compound Events and Tree Diagrams

Maria Miller from mathmoth.com explains compound events, focusing on independent events where one outcome does not affect another. She uses tree diagrams to illustrate possible outcomes and calculates probabilities for various scenarios, including tossing coins and rolling dice. The lesson covers listing outcomes, calculating probabilities, and understanding the likelihood of different sums when rolling two dice.

What are compound events?

• Events that can only occur once

• Events with multiple outcomes that depend on each other

• Events with a single outcome

• Events with multiple outcomes that do not affect each other

How many total outcomes are there when tossing a coin and rolling a die?

• 2

• 36

• 12

• 6

What is the probability of getting heads and a six on a die?

• 1/2

• 1/12

• 1/6

• 1/36

What is the probability of getting tails and an even number on a die?

• 1/6

• 1/4

• 1/2

• 3/12

What is the probability of getting three heads when tossing a coin three times?

• 1/8

• 1/4

• 1/2

• 3/8

What is the probability of rolling a six on both dice?

• 2/36

• 1/18

• 1/6

• 1/36

What is the probability of rolling a three and a five in any order on two dice?

• 1/36

• 1/18

• 2/36

• 1/6

What is the probability of getting a sum of seven when rolling two dice?

• 1/6

• 6/36

• 1/12

• 3/36

What is the probability of getting a sum of ten when rolling two dice?

• 1/6

• 3/36

• 2/36

• 1/12

Which sum is most likely to occur when rolling two dice?

• 6

• 10

• 7

• 12