An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.

This is a tree diagram that represents the probability of customers choosing the different ice cream options.
What is the value of Z?
Group of answer choices

0.2

0.4

0.35

0.45

Each section of the tree diagram (in this case the branches that say vanilla chocolate and strawberry) must add up to 1

so to answer you should do 0.45+0.35= 0.8
then 1-0.8 =0.2

so Z is 0.2

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PratikshaS PratikshaS · Answer 2 · 2022-05-19T18:54:48+02:00

The value of z = 0.2

What is probability?

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

Sum of probabilities:

"The sum of the probabilities of all outcomes must equal 1."

For given situation,

An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.

The probability of customers choosing Vanilla flavor = 0.45

The probability of customers choosing Chocolate flavor = 0.35

We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.

The sum of the probabilities of all outcomes must equal 1.

From given tree diagram,

⇒ 0.45 + 0.35 + z = 1

⇒ 0.8 + z = 1

⇒ z = 1 - 0.8

⇒ z = 0.2

Therefore, the correct answer is option (A)

Learn more about probability here:
brainly.com/question/12478394

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