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.
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%