Gough Lane
04/02/2023 · Junior High School
b) Consider an experiment of rolling three six-sided dice (each die has numbers from 1 to 6 ). What are the probabilities for the following event? Explain your answer. i. The sum of the numbers on the three dice is 10 . ii. The sum of the numbers on the three dice is 9 or 11 . iii. The sum of the numbers on the three dice is less than 6 .
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The probabilities are:
- \( P(\text{sum} = 10) = \frac{1}{8} \)
- \( P(\text{sum} = 9 \text{ or } 11) = \frac{13}{54} \)
- \( P(\text{sum} < 6) = \frac{5}{108} \)
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