Question

Molly plans to sew together a costume for the school play. She has one of each of the following colors

of buttons in her pocket:
· Black
· Green
· Red
· White
All of the buttons are the same size and shape.

Molly will select one button from her pocket without looking.
1) What is the probability that she will select a red button? Show or explain your answer.

Molly also has a bag of ribbons made of the same material and are all the same size. She has one each
of the following colors of ribbon in her bag:
· Black
· White
· Yellow
Molly will select one button from her pocket and one ribbon from her bag without looking.
2) Make a tree diagram or organized list showing all the possible combinations of one button and one ribbon
that Molly could select.

3) What is the probability that Molly will select a black button and a black ribbon? Show or explain how you got
your answer.

4) What is the probability that Molly will select a button and a ribbon that are different colors from each other?
Show or explain how you got your answer

Answer 1

1) 1/4

3) 1/12

4) 5/6

Explanation:

1) P(Red) = 1/4

4 options out of which 1 is red

2)

Black --> Black, White, Yellow

Green --> Black, White, Yellow

Red --> Black, White, Yellow

White --> Black, White, Yellow

First 4 branches for buttons.

From each of these 4 branches, make 3 further branches for ribbons

3) In the tree diagram, there are

12 (4×3 = 12) equally likely outcomes

Out of which 1 is (Black, Black)

So, P(Black & Black) = 1/12

4) out of the 12 outcomes, only 2 have same colour of bottom ribbon:

(Black, Black) & (White,White).

Other 10 have different colours.

P(different) = 10/12 = 5/6

Answer 2

I'll email u the answers