Probability and Expected Outcomes

The video tutorial covers lesson 7-4 on using probability models. It explains how to determine sample spaces and calculate probabilities for various scenarios, including spinners, bead selection, tennis balls, and gumballs. The tutorial also discusses survey analysis for book genres and the probability of selecting different types of peppers. Key concepts include understanding sample spaces, calculating probabilities, and using proportional reasoning. The video concludes with a discussion on potential distribution issues in probability models.

What is the sample space for the spinner if it can land on A, Y, 3, or 5?

• X, Y, Z, W

• 1, 2, 3, 4

• A, B, C, D

• A, Y, 3, 5

If a spinner has two sections labeled '3', what is the probability of landing on '3'?

• 1/2

• 1/4

• 1/8

• 1/3

What is the probability of the sum being 4 when using two spinners?

• 1/2

• 1/6

• 1/4

• 1/3

How many possible outcomes are there when using two spinners, each with three numbers?

• 6

• 9

• 15

• 12

What is the probability of selecting a glass bead from the crate?

• 0.5

• 0.48

• 0.32

• 0.2

If 450 beads are selected, how many are expected to be wood beads?

• 216

• 90

• 180

• 144

What is the probability of selecting a green tennis ball from the bag?

• 19/45

• 12/45

• 10/45

• 14/45

How many orange tennis balls are expected if 75 are selected?

• 20

• 25

• 15

• 30

What percentage of people preferred mystery books according to the survey?

• 22%

• 25%

• 17%

• 15%

Why might more yellow gumballs be dispensed than expected?

• Yellow gumballs are larger.

• Red and blue gumballs were at the bottom of the machine.

• The machine was refilled with more yellow gumballs.

• Yellow gumballs are more popular.