Probability and Outcomes in Events

The video tutorial introduces sample space diagrams, explaining their importance in visualizing possible outcomes when two events occur. It provides examples using a dice and coin, and a spinner, to demonstrate how to draw and interpret these diagrams. The tutorial also covers solving probability questions based on these diagrams, emphasizing the calculation of probabilities for specific outcomes.

What is a sample space diagram used for?

• To display possible outcomes of events

• To calculate the average of outcomes

• To list all prime numbers

• To solve algebraic equations

In the dice and coin example, how many total outcomes are possible?

• 6

• 12

• 18

• 24

What is the probability of getting a tail and a three?

• 1/12

• 1/2

• 1/3

• 1/6

Which of the following is a prime number?

• 9

• 6

• 4

• 5

What is the probability of getting a head and a prime number?

• 1/3

• 1/6

• 1/4

• 1/2

How many sections does the first spinner have in the new example?

• 3

• 4

• 5

• 6

What is the sum of the numbers on the spinners if one spinner shows 7 and the other shows 6?

• 13

• 12

• 11

• 14

How many possible outcomes result in a sum of seven?

• 2

• 4

• 1

• 3

What is the probability of getting a sum of seven?

• 1/5

• 3/10

• 1/4

• 3/20

Which of the following sums is less than 10?

• 11

• 12

• 9

• 15