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.