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:
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.
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.
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.
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?