# 5.4.1. Experimental Probability

During a football team training, one of the players shot 31 penalty kicks and scored 24 goals while another player shot 20 penalty kicks and scored 10 goals. Which of them should be chosen to shoot a penalty kick?

• Aplayer one
• Bplayer two

### Example

During a football team training, one of the players shot 31 penalty kicks and scored 24 goals while another player shot 20 penalty kicks and scored 10 goals. Which of them should be chosen to shoot a penalty kick?

### Solution

Step 1: Determine the probability that player one's penalty kick results in a score.

Divide the player's number of goals by the player's number of penalty kicks.

Step 2: Determine the probability that player two's penalty kick results in a score.

Divide the player's number of goals by the player's number of penalty kicks.

Step 3: Compare the probabilities.

Rename the fractions with a common denominator.

, so player one has a greater probability of scoring a goal. Therefore, player one should be chosen to shoot the penalty kick.

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