(a) How many outcomes are there? Doutcome(s) (b) How many outcomes have a medium or a large being chosen? outcome(s) (c) How many outcomes have both chocolate ice cream and cherries being chosen? outcome(s)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Q.11
Yolanda must choose a size, a flavor of ice cream, and a topping for her ice cream dessert.
There are three sizes to choose from: small, medium, and large.
There are two flavors to choose from: strawberry and chocolate.
There are two toppings to choose from: cherries and nuts.
The tree diagram below shows the possible outcomes. Use the diagram to answer the questions.
Size
Flavor
Topping
Outcome
(small, strawberry, cherries)
(small, strawberry, nuts)
(small, chocolate, cherries)
(small, chocolate, nuts)
(medium, strawberry, cherries)
(medium, strawberry, nuts)
(medium, chocolate, cherries)
(medium, chocolate, nuts)
(large, strawberry, cherries)
(large, strawberry, nuts
(large, chocolate, cherries)
(large, chocolate, nuts)
cherries
strawberry
nuts
small
cherries
chocolate
nuts
cherries
strawberry
nuts
medium
cherries
chocolate
nuts
cherries
strawberry
nuts
large
cherries
chocolate
nuts
(a) How many outcomes are there?
outcome(s)
(b) How many outcomes have a medium or a large being chosen?
outcome(s)
(c) How many outcomes have both chocolate ice cream and cherries
being chosen?
Joutcome(s)
VV V
Transcribed Image Text:Yolanda must choose a size, a flavor of ice cream, and a topping for her ice cream dessert. There are three sizes to choose from: small, medium, and large. There are two flavors to choose from: strawberry and chocolate. There are two toppings to choose from: cherries and nuts. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. Size Flavor Topping Outcome (small, strawberry, cherries) (small, strawberry, nuts) (small, chocolate, cherries) (small, chocolate, nuts) (medium, strawberry, cherries) (medium, strawberry, nuts) (medium, chocolate, cherries) (medium, chocolate, nuts) (large, strawberry, cherries) (large, strawberry, nuts (large, chocolate, cherries) (large, chocolate, nuts) cherries strawberry nuts small cherries chocolate nuts cherries strawberry nuts medium cherries chocolate nuts cherries strawberry nuts large cherries chocolate nuts (a) How many outcomes are there? outcome(s) (b) How many outcomes have a medium or a large being chosen? outcome(s) (c) How many outcomes have both chocolate ice cream and cherries being chosen? Joutcome(s) VV V
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