Topic 9 Review

The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28334, 81357, 52453, 21761, 51537, 62385, 62135, 16687, 41662, 27135, 45445, 33858, 86427 Let the number 1 represent a 3-point basket and the numbers 2–8 represent 2-point baskets. Based on the simulation, what is the probability that at least one of the next 5 baskets made by the team is a 3-pointer?

• 5/15

• 6/15

• 7/15

• 8/15

Ms. Lee is handing out wristbands as students enter the dance. There are 40 black, 20 yellow, 25 orange, and 15 purple wristbands. If Melanie is handed a wristband, what is the probability the color is orange?

• 1/5

• 1/4

• 2/5

• 3/4

An 8-sided solid is labeled with faces 1, 2, 3, skip, 4, 5, 6, skip. What is the sample space for the number solid, and what is the probability of rolling a 1?

• {1, 2, 3, 4, 5, 6}; P(1) = 0.17

• {1, 2, 3, 4, 5, 6, skip}; P(1) = 0.125

• {1, 2, 3, skip, 4, 5, 6}; P(1) = 0.14

• {1, 2, 3, 4, 5, 6, skip, skip}; P(1) = 0.125

A digital board game has 25 squares with 5 squares of each color. The results of 625 games are shown below. Color | Frequency Green | 119 Orange | 130 Pink | 126 Violet | 114 Yellow | 136 For which color is the experimental probability closest to the theoretical probability?

• Green

• Pink

• Violet

• Yellow

Four people—Roger, Gail, Simon, and Lisa—enter their names into a drawing. The winner receives a sweater, hat, or scarf, and which prize they receive is randomly selected. What is the probability that either Gail wins and is given a scarf, or Simon wins (and is given any prize)? Write the answer as a percent rounded to the nearest tenth.

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In a game of chance, players spin the pointer of a spinner with eight equal-sized sections. The outcomes of the game are shown in the table to the left. Select all of the outcomes that have a frequency equal to its expected frequency.

• 1

• 2

• 3

• 4

• 5

The table below shows a record of three Balloon Pop games. Based on the data recorded in the table, how many winners would you expect if there are 100 players?

To play a board game, a player spins the pointer of a spinner with four equal sections numbered 1–4, then flips a fair coin. Use a tree diagram, table, or organized list to represent the sample space. What is the probability of spinning either a 3 or a 4 AND flipping a head? Type your answer as a percent.

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

• 1/5

• 3/25

• 4/25

• 6/25