Theoretical Probability
Sample Space
Likelihood
Experimental Probability
Probability of Independent Events
100
A number cube is rolled. Find the probability of rolling a 5.
Write your answer as a fraction, a decimal and a percent.
1/6, 0.167, 16.7%
100
Three sides of a number cube are labeled with the number 3, and the remaining three sides are labelled 4,5,6. The cube is rolled. What is the sample space?
3,3,3,4,5,6
100
A teacher brings a box of different colored pencils for her students. The probability of a student receiving a red is 2/14. What is the likelihood a student selects a red pencil at random from the box?
A. Impossible
B. Unlikely
C. Equally likely
D. Likely
E. Certain
B. Unlikely
100
Out of the past 65 school days, Selam has bought school lunch 5 times. What is the experimental probability that Selam will buy school lunch tomorrow?
1/13
100
The spinner below is spun and a number cube is rolled. Find the probability of spinning blue and rolling a 2.
1/30
200
A marble is drawn from a bag. The bag contains 3 blue marbles, 5 white marbles, and 1 green marble. Find the probability of drawing a black marble.
0
200
A marbel is randomly drawn from a bag that has 3 blue marbles, 1 red marble, 2 yellow marbles, and 1 black marble. The color drawn is recorded. What is the sample space?
blue, blue, blue, red, yellow, yellow, black
200
The probability that a spinner labelled 1-6 lands on a number greater than 2 is P(greater than 2) = 66.6%. What is the likelihood of the spinner landing on a number greater than 2?
A. Unlikely
B. Equally likely
C. Likely
D. Certain
C. Likely
200
Lauryn has worn her hair in a pony tail 15 times over the past 50 days. What is the experimental probability that Lauryn will wear her hair in a pony tail tomorrow?
3/10
200
The spinner below is spun and a number cube is rolled. Find the probability of spinning blue and rolling a 2 or 4.
2/30 or 1/15
300
A spinner is divided into 8 equal sections. Each section is labeled 1 through 8. Find the probability of rolling a 4 or 6.
Write your answer as a fraction, a decimal, and a percent.
1/4, .25, 25%
300
A spinner labelled 1, 1, 5, 4, 1, 2, 5, 3 is spun once. What is the sample space?
A. 1
B. 3
C. 1, 2, 3, 4, 5
D. 1, 1, 1, 2, 3, 4, 5, 5
D
300
A number cube has sides numbered 1, 2, 3, 4, 5, and 6. What is the likelihood of rolling a 0?
Impossible
300
Troy has been late to his piano lesson 6 times over the last 18 lessons. What is the experimental probability that Troy will be ON TIME for his next lesson?
2/3
300
The spinner below is spun and a number cube is rolled. Find the probability of spinning blue and rolling an odd.
3/30 or 1/10
400
A number cube is rolled. Find the probability of NOT rolling a 3 or 4.
Write your answer as a fraction, a decimal, and a percent.
2/3, 0.666, 66.6%
400
A deli offers chicken, veggie, turkey, and ham sandwiches. Suppose a customer selects a type of sandwich at random from the menu. How many possible outcomes are there?
4
400
Rayden rolls a number cube with sides labelled 1, 2, 3, 4, 5, and 6. The probability Rayden rolls an odd number, or P(odd number) = 3/6. How likely is it that Rayden will roll an odd number?
Equally likely
400
Ronald's class voted for different field trip destinations. P(museum) = 25%, P(zoo) = 0.25, P(nature center) = 37.5%, and P(state park) = 5/24. If one vote is chosen at random, which destination is least likely to be chosen?
State park
400
The spinner below is spun and a number cube is rolled. Find the probability of spinning green and rolling a prime number.
4/30 or 1/15
500
Letter tiles C, A, L, C, U, L, A, T, E are placed face-down on a table. Eric mixes the tiles and randomly turns one over. Find P(C), P(T), and P(vowel).
P(C) = 0.22
P(T) = 0.11
P(vowel) = 0.44
500
Students from grades 5, 6, 7, and 8 are attending a pep rally. A ball labeled with each grade is placed into a paper bag. The principal will select which class goes first in a game by selecting a ball at random.
What is the sample space for the principal's selection?
5, 6, 7, 8
500
Jordan spins the spinner with 8 equal size sections labeled 1-8. Order the events from least likely to most likely.
#1. Spinning a 5 or a 6
#2. Spinning a number less than 4
#3. Spinning a 3
#4. Spinning an even number
3, 1, 2, 4
500
VioletRose rolls a die 80 times. Here are the results: #1 - 12 times #2 - 15 times #3 - 13 times #4 - 11 times #5 - 14 times #6 - 15 times What is the experimental probability of rolling a 5? How is that different from the theoretical probability of rolling a 5?
The experimental probability is 7/40 or 17.5%. The theoretical probability is 1/6 or 16.7%. The experimental probability was 0.8% higher than the theoretical probability.
500
The spinner below is spun twice. Find the probability of spinning blue and then green.
1/25