Problem 1:
Draw a tree diagram to represent all the possible
outcomes you can get.
There is a spinner that has 3 equal sectors, each
with a different color. One is Red “R”, another is
Blue “B”, and the last is Green “G”, and there is a
single 6 sided die.
You spin the spinner and record the letter of the
result, then you roll the die and record the number
of the side that shows on top.
Use your tree diagram to answer the following
questions.
1. How many total outcomes are there?
2. What is the probability you spin a Red and roll
and odd number?
3. What is the probability of Spinning a Blue and
rolling a die with a sum of 8?
Problem 2:
Draw an area model to show all the possible
outcomes you can get.
There are 2 six-sided dice for you to roll. You roll the
2 dice at the same time. You take the “product” of
the two dice.
Use your area model to answer the following
questions.
1. What is the probability the product is even?
2. What is the probability the product will be
greater than 20?
3. What is the probability the product is a whole
number?
Problem 3:
Draw a tree diagram to show all the possible
outcomes you can possibly get.
There is a quarter (not a trick quarter, just an
ordinary 25 cent American quarter) sitting on the
desk. You need to flip the quarter 3 times in a row
and record the result of each flip.
Use your tree diagram to answer the following
questions.
1. What is the probability of flipping a Heads on all
3 coin flips?
2. What is the probability that the 2nd coin flip
resulted in a Tails?
3. What is the probability of getting “at least” 2
Heads on the 3 coin flips?
Problem 4:
Draw an area model to show all the possible
outcomes you can get.
There is a bag that contains 6 chips inside (1 red, 2
white, and 3 blue), and each chip has a side that
says “Win” and a side that says “Lose”. You reach
into the bag without looking and pull out one chip.
Record the chip color (R, W, or B) and then flip the
chip and record the result (W or L).
Use your area model to answer the following
questions.
1. What is the probability of getting a red chip
and flipping a “Win”?
2. Red “Win” gets a large stuffed animal, White
“Win” gets a t-shirt, and Blue “Win” gets a
small stuffed animal. “Lose” does not get
anything, but a big frowning face. What is the
probability of getting a stuffed animal?