Probability Practice Problems with Set Notation Practice
Name:
Find the probability for the following events.
1. A dice cube has 6 sides that are numbered 1 to 6. If the cube is thrown once, what is the
probability of rolling an odd number?
2. If one letter is chosen at random from the word refuse, what is the probability that the letter
chosen will be an "e"?
3. There are 3 trails leading to Camp A from your starting position. There are 3 trails from Camp A
to Camp B. List the sample space in set notation and using a tree diagram. How many different
routes are there from the starting position to Camp B? Check your answer by using the counting
principle.
4. How many different ways are there to make a 3 digit number out of the numbers 0-9? Use the
counting principle! (Hint: Can you start a 3 digit number with 0? )
5. A jar contains 4 blue marbles, 7 red marbles, and 2 green marbles. You reach in and pick one
marble from the jar. Find:
a. P(blue):
b. P(red):
c. P(red or green):
d. P(not red):
e. P(red and green):
f: P(blue, red, or green):
6. A spinner is divided into 8 equal regions as shown below:
For one spin of the spinner, find:
a. P(black):
b. P(white or yellow):
c. P(the complement of green):
d. P(brown):
7. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses,
what is the probability that the coin will land with the head up on the fourth toss?
A. 0
B.
C.
D.
8. Use each notation listed below to describe this set:
All real numbers greater than -2 and less than or equal to 3.
a. Set-builder notation:
b. Interval notation:
c. Graph:
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d. Explain why you can’t use the roster notation to express this set.
9. Fill in the chart below.
Set-builder
Notation
a.
b.
Interval
Notation
{x   | x  3}
 5, 4
Graph