Probability and Sample Space Concepts

This video tutorial explains how to use sample space diagrams to calculate probabilities. It covers two examples: rolling two four-sided dice and spinning a three-sided spinner with a coin flip. The video demonstrates how to list all possible outcomes and calculate probabilities for specific events, such as rolling a total score of six or more. The tutorial concludes with a call to subscribe for more math tutorials.

What is a sample space diagram used for?

• To eliminate impossible outcomes

• To determine the fastest outcome

• To calculate the average of outcomes

• To list all possible outcomes of an event

How many possible outcomes are there when rolling two four-sided dice?

• 12

• 8

• 20

• 16

What is the probability of rolling a total score of six with two four-sided dice?

• 1/16

• 5/16

• 7/16

• 3/16

How can the probability of rolling a total score greater than five be simplified?

• 1/2

• 3/8

• 3/4

• 5/8

In the second example, what two items are used to create the sample space?

• A three-sided spinner and a fair coin

• A six-sided die and a coin

• A spinner and a six-sided die

• Two four-sided dice

How many possible outcomes are there in the spinner and coin example?

• 5

• 4

• 6

• 7

What is the probability of getting a 2 and tails in the spinner and coin example?

• 1/6

• 1/5

• 1/4

• 1/3

What is the probability of scoring two or more and getting heads?

• 1/5

• 1/2

• 1/3

• 1/4