(a) When playing Yahtzee, you roll five regular 6-sided dice. How many different outcomes are possible from a single (five dice) roll? The order of the dice does not matter. (b) Your friend has 7 coins in her pocket (each could be a penny, nickel, dime or quarter). How many different pocketfuls are possible?
(a) When playing Yahtzee, you roll five regular 6-sided dice. How many different outcomes are possible from a single (five dice) roll? The order of the dice does not matter. (b) Your friend has 7 coins in her pocket (each could be a penny, nickel, dime or quarter). How many different pocketfuls are possible?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 3SE: Answer the following questions. 3. When given two separate events, how do we know whether to apply...
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Transcribed Image Text:4. For each of the following questions, first give one example of an outcome (i.e., one of the many things you
are counting) and show how that particular outcome can be represented as a "stars and bars" diagram.
Then, answer the counting question.
(a) When playing Yahtzee, you roll five regular 6-sided dice. How many different outcomes are possible
from a single (five dice) roll? The order of the dice does not matter.
(b) Your friend has 7 coins in her pocket (each could be a penny, nickel, dime or quarter). How many
different pocketfuls are possible?
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