Theoretical
What is the theoretical probability of rolling a 4 on a dice?
1 out of 6
James flipped a coin 15 times and he got heads 9 times. What is the experimental probability of landing on heads?
3/5
You spun a spinner 20 times and the results follow
Yellow 10
Orange 7
Red 3
Which colors experimental probability is 50 percent?
Yellow
A spinner has 4 sections of equal size labeled T, V, W, and X. The arrow of this spinner was spun 10 times and landed 7 times on the section labeled W.
Which statement best describes the experimental probability and theoretical probability of the arrow landing on the section labeled W?
A. The experimental probability is 1/4, and the theoretical probability is 7/10.
B. The experimental probability is 7/10, and the theoretical probability is 1/4.
C. The experimental probability is 7/10, and the theoretical probability is 7/10.
D. The experimental probability is 1/4, and the theoretical probability is 1/4.
B
What is the theoretical probability or rolling an even number on a fair number cube?
1/2
James flipped a coin 15 times and he got heads 9 times. What is the experimental probability of landing on tails?
2/5
Marcus rolled a dice 48 times and these were the results.
Number Rolled Time Rolled
1 10
2 14
3 7
4 3
5 6
6 8
What is the theoretical probability of rolling a 1?
1/6
Several students conducted a simulation where a standard coin was tossed several times and the results were recorded in a table. Which table shows an experimental probability of landing on tails that is closest to the theoretical probability of landing on tails?
A. Heads 35/ Tails 32
B. Heads 11/ Tails 8
C. Heads 27/ Tails 18
D. Heads 78/ Tails 64
A, 52 percent
A bag of candy contains 2 pieces of bubble gum, 4 jolly ranchers, and 10 tootsie rolls. What is the closest probability of randomly choosing either a piece of bubble gum or a tootsie roll?
Write as a percent
75
Marcus rolled a dice 48 times and these were the results.
Number Rolled Time Rolled
1 10
2 14
3 7
4 3
5 6
6 8
What is the experimental probability of rolling a 2?
7/24
Marcus rolled a dice 48 times and these were the results.
Number Rolled Time Rolled
1 10
2 14
3 7
4 3
5 6
6 8
What is the experimental probability of rolling an even number?
25/48
A fair number cube was rolled 40 times. The number 5 was rolled 8 times.
Which statement best describes the experimental probability and theoretical probability of the fair number cube landing on 5?
A. The experimental probability of 1/5 is greater than the theoretical probability of 1/6 .
B. The experimental probability of 1/6 is greater than the theoretical probability of 1/5.
C. The experimental probability and theoretical probability are both 1/5 and equal.
D. The experimental probability of 1/5 is less than the theoretical probability of 1/6 .
A
A fair number cube has six sides, numbered 1 through 6. Which of the events has the highest probability of occurring?
A. a number less than 3
B. an even number
C. a number greater than 2
D. an odd number
C
Use the table to answer the question. Answers must be in simplified form.
Number Rolled Frequency
1 4 times
2 5 times
3 2 times
4 8 times
5 6 times
6 5 times
What is the experimental probability of rolling a 5 on a fair number cube?
1/5
A bag contains 9 blue marbles, 10 red marbles, and 11 yellow marbles. What is the probability of randomly choosing a blue or yellow marble from the bag?
As a decimal
0.66
Marcus rolled a dice 48 times and these were the results.
Number Rolled Time Rolled
1 10
2 14
3 7
4 3
5 6
6 8
Which numbers experimental probability matches the theoretical probability?
6
If Mary selects a flower at random, what is the probability that it will be pink? As a fraction
Purple 50 %
Pink 20 %
Yellow 30 %
1/5
Marcus rolled a dice 48 times and these were the results.
Number Rolled Time Rolled
1 10
2 14
3 7
4 3
5 6
6 8
What is the experimental probability of rolling a prime number? Write as fraction, decimal, and %
27/48 .56 56 %
Preston has a box of 100 identically shaped, colored markers -
• 20 red
• 18 blue
• 25 green
• 15 yellow
• 22 purple
Preston selects one marker from the box without looking. What is the theoretical probability that Preston will select a blue marker?
9/50
A standard 6-sided die is tossed 90 times. The results are recorded in the table. What number had an experimental probability that matches its theoretical probability? The number _________on the die.
Number on Dice Times Rolled
1 13
2 15
3 14
4 12
5 18
6 18
2