A regular die has six faces, numbered 1 to 6. Roll the die six times consecutively, and record the (ordered) sequence of die rolls; we call that an outcome. (a) How many outcomes are there in total? (b) How many outcomes are there where 5 is not present? (c) How many outcomes are there where 5 is present exactly once?
A regular die has six faces, numbered 1 to 6. Roll the die six times consecutively, and record the (ordered) sequence of die rolls; we call that an outcome. (a) How many outcomes are there in total? (b) How many outcomes are there where 5 is not present? (c) How many outcomes are there where 5 is present exactly once?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
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Transcribed Image Text:4. A regular die has six faces, numbered 1 to 6. Roll the die six times consecutively, and
record the (ordered) sequence of die rolls; we call that an outcome.
(a) How many outcomes are there in total?
(b) How many outcomes are there where 5 is not present?
(c) How many outcomes are there where 5 is present exactly once?
(d) How many outcomes are there where 5 is present at least twice?
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