Topic 7 Test

The random numbers below represent 10 trials of a simulation.

2632, 1365, 9367, 2056, 0026, 6564, 1434, 8045, 4781, 8681

The numbers 0-7 represent students who watched TV last night, and the numbers 8 and 9 represent students who did not. Based on the simulated data, what is the probability that exactly 2 out of a group of 4 randomly selected seventh-graders watched TV last night?

The art club is handing out T-shirts to its members. There are 5 blue, 7 green, 9 red, and 4 yellow T-shirts in all. If Jacob is handed a T-shirt, what is the probability that the color is red?

A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4. What is the sample space for the spinner, and what is the probability of spinning a 1?

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A game has 15 balls for each of the letters B, I, N, G, and O. The table shows the results of drawing balls 1,250 times. For which letter is the experimental probability closest to the theoretical probability?

• I

• N

• G

• O

Four people (Rob, Sonya, Jack, and David) enter their names into a drawing. The winner receives either a T-shirt or a mug, and which prize they receive is randomly selected. What is the probability that either David wins and is given a mug, or Jack wins (and is given either prize)? Give the answer as a percent.

In a game of chance, players spin the pointer of a spinner with six equal-sized sections. Which outcome has a frequency closest to its expected frequency?

• 1

• 2

• 3

• 4

Ramiro records the number of winners of three Ring Toss games in the table. Based on the data recorded in the table, how many winners should Ramiro expect if there are 750 players?

In a school contest, each student draws a number from 1 to 5 out of a large basket. The outcomes are shown in the table. Based on the data, what is the expected probability of drawing a 3?

Ava uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Select the three true statements about this game.

• The probability of the pointer landing on an even-numbered section is 66.67%

• It is impossible that the pointer will land on 1.

• It is less likely that the pointer will land on an odd-numbered section than an even numbered section.

• It is certain that the pointer will land on a number less than 6.

• The spinner is fair.

Emma plays a game by rolling two number cubes with sides numbered 1 through 6. To win the game, the sum of the numbers facing up must be 11. What is the probability that Emma will win the game?