Math A

Working with
Tree Diagrams

 

  Answer the following questions pertaining to
tree diagrams.

 

1.

You are at a carnival.  One of the carnival games asks you to pick a door and then pick a curtain behind the door.  There are 3 doors and 4 curtains behind each door.  How many choices are possible for the player?

Choose:

3
12
24
36

 

 

2.

The 4 aces are removed from a deck of cards.  A coin is tossed and one of the aces is chosen.  What is the probability of getting heads on the coin and the ace of hearts?  Draw a tree diagram to illustrate the sample space.

 

See Tree Diagram

Choose:

1/2
1/4
1/8
1/16

 

 

 

3.

There are 3 trails leading to Camp A from your starting position.  There are 3 trails from Camp A to Camp B.  How many different routes are there from the starting position to Camp B?  Draw a tree diagram to illustrate your answer.

 

See Tree Diagram

Choose:

3
6
9
12

 

 

4.

A spinner has 4 equally likely regions numbered 1 to 4.  The arrow is spun twice.  What is the probability that the spinner will land on a 1 on the first spin and on a red region on the second spin?  Draw a tree diagram to represent your answer.

 

See Tree Diagram

Choose:

1/2
1/4
1/6
1/8

 

 

 

5.

There are two identical bottles.  One bottle contains 2 green balls and 1 red ball.  The other contains 2 red balls.  A bottle is selected at random and a single ball is drawn.  What is the probability that the ball is red?

            Answer

Choose:
1/2
1/3
1/6
2/3

 

 

Greyblue.jpg (6110 bytes)

 

BackMath.gif (4139 bytes)


Roberts