# 5.4.1. Experimental Probability

Three sisters take turns in cleaning their house, where they roll a die with three faces numbered 1, one face numbered 2, and two faces numbered 3. The eldest sister does the cleaning when number 1 appears, the middle one does it when number 2 appears, and the youngest one does it when number 3 appears. How many times do you predict that the middle one does the cleaning within 12 days?

• A 2
• B 4
• C 6
• D 8

### Example

Three sisters take turns in cleaning their house, where they roll a die with three faces numbered 1, one face numbered 2, and two faces numbered 3. The eldest sister does the cleaning when number 1 appears, the middle one does it when number 2 appears, and the youngest one does it when number 3 appears. How many times do you predict that the middle one does the cleaning within 12 days?

### Solution

Step 1: Determine the probability that the middle sister cleans the house during a day.

Divide the number of die faces with the number 2 by the number of faces on the die.

Step 2: Predict the number of times the middle sister does the cleaning in 12 days.

Multiply the probability that the middle sister cleans during a day by the number of days.

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