Probability and Expected Value Problems

The video tutorial covers predicting experimental and theoretical probability. It explains how past events can be used to predict future outcomes using proportions and percentages. The tutorial includes practical examples, such as predicting the number of baskets in basketball, the likelihood of choosing apples as a favorite fruit, and the probability of hitting a baseball. It also demonstrates using outcome trees and spinners to calculate probabilities. The lesson concludes with a summary of key concepts and methods for predicting probability.

If you can make 3 out of 5 basketball shots, how many would you expect to make in 15 attempts?

• 15

• 12

• 9

• 6

In a survey, 8 out of 10 people chose apples as their favorite fruit. How many out of 100 would you expect to choose apples?

• 70

• 75

• 80

• 85

Eric hits the baseball 49% of the time. If he receives 300 pitches, how many hits can he expect?

• 120

• 150

• 147

• 180

If Sally rolls a die 21 times, how many times can she expect to roll a 1 or a 4?

• 3

• 5

• 7

• 9

What is the probability of rolling a 1 or a 4 on a six-sided die?

• 2/3

• 1/2

• 1/3

• 1/6

If 25% of dogs need a rabies booster, how many out of 120 dogs would need it?

• 30

• 25

• 20

• 35

90% of seventh graders prefer texting. How many out of 150 would you expect to prefer texting?

• 135

• 120

• 145

• 140

What is the probability of a spinner landing on a 2 if it is divided into four equal sections?

• 1/5

• 1/4

• 1/3

• 1/2

A baseball player reaches base 35% of the time. How many times can he expect to reach base in 850 at-bats?

• 300

• 299

• 298

• 297

Convert 35% to a decimal.

• 0.45

• 0.25

• 0.3

• 0.35