10 Dice. a) If you roll three dice (each with six sides numbered 1, 2, 3, 4, 5, and 6), what is the probability that the three numbers rolled will all be the same? b) If you roll three dice (each with six sides numbered 1, 2, 3, 4, 5, and 6), what is the probability that the three numbers rolled will be distinct? (no repetitions)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 13CT: 13. In a group of four students, what is the probability that at least two have the same...
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10 Dice.
a) If you roll three dice (each with six sides numbered 1, 2, 3, 4, 5, and 6), what is the probability that the three
numbers rolled will all be the same?
b) If you roll three dice (each with six sides numbered 1, 2, 3, 4, 5, and 6), what is the probability that the three
numbers rolled will be distinct? (no repetitions)
Transcribed Image Text:10 Dice. a) If you roll three dice (each with six sides numbered 1, 2, 3, 4, 5, and 6), what is the probability that the three numbers rolled will all be the same? b) If you roll three dice (each with six sides numbered 1, 2, 3, 4, 5, and 6), what is the probability that the three numbers rolled will be distinct? (no repetitions)
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