Probability Big Ideas

A spinner is divided into 4 equally sized selections. The sections are blue, green, red, and yellow. The results of 1000 spins are shown in the table.

What is the experimential probability of spinning a green? (use a reduced fraction)

Mathematical Equivalence

ON

• not be uniform because the probability of rolling each number is different

• be uniform because the probability of rolling each number is different

• not be uniform because the probability of rolling each number is the same

• be uniform because the probability of rolling each number is the same

A spinner is divided into 4 equally sized selections. The sections are blue, green, red, and yellow. The results of 1000 spins are shown in the table.

What is the theoretical probability of spinning a green?

Mathematical Equivalence

ON

A store is handing out coupons worth 10%, 15%, 20%, or 25% off. Each coupon is equally likely to be handed out. Which of the following models could be used to simulate this situation?

• flipping a coin four times

• spinning a spinner with four equal sections

• rolling a number cube labeled one through six one time

• rolling a number cube labeled one through six four times

Vy is shopping for a car. It comes in red, blue, or silver. She can also choose a 2-door and 4-door version along with a manual or automatic transmission. What is the theoretical probability that Vy will pick 4-door car, automatic transmission and it being red or blue?

Mathematical Equivalence

ON

In a certain population of birds, about 40 percent of the birds have a wingspan greater than 10 inches. Biologists studying the birds will create a simulation with random numbers to estimate the probability of finding 1 bird in a sample of 6 birds with a wingspan greater than 10 inches. Which of the following assignments of the digits 0 to 9 will model the population?

• Let the even digits represent birds with a wingspan greater than 10 inches and the odd digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits 0 and 1 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 2 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 3 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 4 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

A spinner is divided into 4 equally sized selections. The sections are blue, green, red, and yellow. The results of 1000 spins are shown in the table.

What is the theoretical probability of spinning a green? (use a reduced fraction)

Mathematical Equivalence

ON

You are playing a game using this spinner. You get one spin on each turn. Find a complete probability model for one spin of the spinner.

• P(number ​3)=1/4, ​P(letter ​A)= 1/4

• P(number)=1/2​, ​P(letter ​Y)= 1/4

• P(letter)=1/2​, P(number)=1/2

• P(letter)=1/2​, ​P(number ​5)= 1/4

A sports bag contains 3 tennis balls, 4 baseballs, and 8 golf balls. Each is equally likely to be chosen. Which of the following models could be used to simulate this situation?

• flipping a coin fifteen times

• spinning a spinner with three equal sections

• choosing from 3 red marbles, 4 yellow marbles, and 8 blue marbles

• rolling a number cube labeled one through six fifteen times