Question

Customers at a game store are voting for their favorite board games. The voting results are shown in the following table.

Favorite board game voting results

Name of game

Style of game

Strategy

World Takeover

Number of votes

Puzzle

31

Word

Tangled Knots

25

Word

Krazy Krosswords

13

Frantic Phrases

22

Role Playing

Pirate's Booty

44

a) Based on the voting results, calculate the probability that a customer would choose each style of game. Express the probability of each style of game as a reduced fraction and as a whole number percentage.

Answer 1

To calculate the probability that a customer would choose each style of game, we need to divide the number of votes for each style by the total number of votes.

Total number of votes = 31 + 25 + 13 + 22 + 44 = 135

1. Probability of choosing a Puzzle game:
Number of votes for Puzzle games = 31 + 25 = 56
Probability = 56/135 ≈ 0.4148
Reduced fraction: 56/135
Percentage: 41%

2. Probability of choosing a Word game:
Number of votes for Word games = 25 + 13 = 38
Probability = 38/135 ≈ 0.2815
Reduced fraction: 38/135
Percentage: 28%

3. Probability of choosing a Frantic Phrases game:
Number of votes for Frantic Phrases = 22
Probability = 22/135 ≈ 0.1629
Reduced fraction: 22/135
Percentage: 16%

4. Probability of choosing a Role Playing game:
Number of votes for Role Playing games = 44
Probability = 44/135 ≈ 0.3259
Reduced fraction: 44/135
Percentage: 32%