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Probability Study Guide
PR1, PR2, PR3
1.) Define the following words on your own paper: Probability, Likely, Unlikely, Equally Likely, Impossible, Certain
2.) Fill in the table with the correct values.
Certain
Likely
Equally
Likely
Unlikely
Impossible
P(decimal)
P(percent)
P(fraction)
3.) For each phrase below, write one of the following terms: certain, likely, equally likely, unlikely, or impossible
A.) The sun will set in the west tomorrow. ________________
B.) Mrs. Barnett will win the next season of America’s Got Talent. _____________
C.) The BCMS girls softball team will win their game tonight. _____________
D.) It’s a nice 75 degree day today so there will be lots of kids at the park to play. ________
E.) A pink unicorn will fly by outside our classroom window. __________________
PR4
1. You have one spin of a spinner. What is the sample space for this action? How many outcomes
are in the sample space?
Sample Space: ________________
Number of outcomes: ______________
2. To meet a deadline a manager chooses some workers to come in on a Saturday.
Event: The worker is wearing a solid shirt.
What are the possible outcomes for this event? _________________________
Worker
1
2
3
4
5
Shirt
Blue
Striped
Striped
Blue
purple
3. Cara is picking out a shirt. She has a blue shirt, a white shirt, and a green shirt to choose from.
Cara is going to pick one at random and wants to know what the chance is she will pick a green shirt.
Action: _____________ Sample Space: _____________
Event: ___________
4. Classify the following as an action, sample space, or event. Circle the correct answer for each.
A) Tossing a fair coin
event
action
sample space
B) Rolling an even number with a fair number cube event
action
sample space
PR5, PR6
1. When rolling a 12-side die, find the theoretical probability of the following:
Rolling a two
P(2) = _______________________
Rolling a number less than 6
P(less than 6) = ______________________
2. A class is flipping a coin to see what the probability of getting tails is. The class flips a coin 42 times. Tails comes up
29 times and heads comes up 13 times.
o What is the theoretical probability of getting heads?
__________________
o What is the experimental probability of getting heads?
___________________
3. A spinner is divided into eight equal parts (numbered 1-8). Find the theoretical probability of each of the following.
P(greater than 6)= ______________
P(a factor of 8)= _________
P(a prime number)= ____________
5. There are 80 marbles in a bag. The bag has 41 green marbles, 30 red marbles, and 9 yellow marbles. Silas selects a
marble from the bag 20 times and of those he picked a yellow marble 16 times.
Theoretical probability of picking a yellow marble?
_____________________
Experimental probability of picking a yellow marble
______________________
PR7 Counting Principle
1.Explain the Counting Principle.
2. Using the counting principle determine the total amount of outcomes possible for each of the following
events. Show your work!
A.) Meyrick is going to choose between 2 types of chips, 4 types of pop, and 3 candy bars.
B.) Three are friends are going to pick from 5 appetizers. They CAN order the same appetizer.
C.) Three friends are going to pick from 5 appetizers and they can NOT pick the same appetizer.
D.) You are choosing a three character password for your computer from the word MASCOT. Letters cannot
be repeated.
E.) You are going to choose a password made up of 3 different letters from the word BREAK and 2 different
numbers from the number 4036.
PR8 Sample Space (lists, tables, tree diagrams)
1. A person can order a new car with a choice of 3 possible colors, with or without a CD player, and with or
without automatic door locks. Using a list, show all of the possible car combinations you could have if you
select one option from each category.
2. Make and complete a table to show the sample space of (number, letter) combinations using the digits in
the number 4358 and the letters in the word GREAT. Then find the number of possible outcomes.
3. Draw a tree diagram that displays the sample space for selecting a three character password from the
word BATH. Letters cannot be repeated.
4. Three teachers (Caskey, Mason, and Bowen) are each going to order appetizers at Applebee's. The
appetizers they are going to choose from are mozzarella sticks, potato skins, and nachos. Make a tree
diagram using the format (Caskey, Mason, Bowen) to represent the sample space of the teachers’
appetizers. Then, list all of the possible outcomes.
5. Jennilee is making a 4 character password for her computer consisting of two letters and then two
numbers where no letter or number repeats itself. She wants to use the letters J and B and the numbers 3
and 5. Use an organized list to show all of the different passwords she can develop.
PR9 (compound probability)
1. Draw a tree diagram that displays the sample space for selecting one number and one letter from the
numbers 4567 and the letters AMEP. Then, determine the probability of getting a (number, letter)
combination that includes an even number and a vowel.
P(even, vowel) = _____________
2.Four fair coins are tossed with possible outcomes of heads (H) and tails (T). Write all of the possible
combinations of heads and tails in the sample space (a tree diagram is recommended). Then, find the
probability of tossing at exactly 2 heads.
P(H, H)= __________
3. Use a tree diagram to display the sample space for choosing a letter from the word BATH and then a
number from the number 674. Then, determine the probability of getting a (letter, number) combination
that has an odd number?
P(odd number)= ____________