Practice questions available in **McGraw Hill Math Grade 6 Answer Key PDF** **Lesson 25.4 Tree Diagrams** will engage students and is a great way of informal assessment.

## McGraw-Hill Math Grade 6 Answer Key Lesson 25.4 Tree Diagrams

**Exercises**

**INTERPRET**

Question 1.

How many different outcomes are there in the tree diagram?

Answer:

Red – RR, RW, RG

White – WR, WW, WG

Green – GR, GW, GG

So, the different outcomes are 9 in the tree diagram.

Question 2.

Below is a tree diagram of the choices at the picnic you are going to attend. If you do not like hamburgers, how many different meal combinations can you select from?

Answer:

Chicken – Club – apples, ice cream

Chicken – Salad – apples, ice cream

Mushroom – Club – apples, ice cream

Mushroom – Salad – apples, ice cream

There are 4 possible outcomes.

**SOLVE**

Question 3.

Draw a tree diagram that shows the possible outcomes of flipping a coin 3 times.

Answer:

So, the possible outcomes of flipping a coin 3 times are 8.

Question 4.

How many outcomes are there where both John and Bill fail?

Answer:

Favorable outcomes = {(Bill passes, Bill fails), (Bill passes, Bill fails)}

So, the outcomes are 2.

Question 5.

Below is a tree diagram of the possibilities where four girls—Heather, Alice, Lucy, and Annie—each choose one item for their desk. How many different outcomes

Answer:

There are 12 possible outcomes.

If Heather, Alice, Lucy, and Annie—each choose one item for their desk then the possible outcomes are 4/12 = 1/3

Question 6.

You are at an ice cream shop and you have three choices of ice cream—vanilla, strawberry, and chocolate. You have to choose a topping of either nuts or sprinkles. Draw a tree diagram that shows all the possible different ice cream cones you can order.

Answer:

Given,

You are at an ice cream shop and you have three choices of ice cream—vanilla, strawberry, and chocolate. You have to choose a topping of either nuts or sprinkles.

There are 2 different outcomes for each flavor of ice cream.

The total possible outcomes are 6.