Theoretical
Experimental
Predictions & Outcomes
Randomized
Probability
100
What is theoretical probability?
Theoretical probability is based on what is expected to happen.
100
Mr. Jasmak spun a spinner 150 times. Her results are recorded below.
Green: 25
Yellow: 60
Orange: 15
Pink: 50
What was the experimental probability of spinning Orange?
P(spinning orange) = 15/150 = 1/10 = 10%
100
At a school assembly 3 out of the first 10 students were wearing spirit wear. Based on this information, if 400 students were at the assembly, then how many students could be expected to be wearing spirit wear?
120
100
Is this theoretical or experimental probability? Why?
The probability of getting heads when flipping a coin is 50%.
Theoretical probability. The outcomes of flipping a coin is heads or tails, there is an even chance of flipping heads as there is to tails.
100
What percent range goes with unlikely?
1%-49%
200
I have a pack of Starbursts. There are 38 orange, 13 red, and 25 yellow. What is the probability that I pick an orange one?
38/76 = 1/2 = 50%
200
What is experimental probability?
Experimental probability is based on what actually happened in an experiment. It is found by repeating an experiment and observing the outcomes.
200
A box of 30 batteries is checked and two are defective. Based on these results, how many can be predicted to be defective in a box of 120?
8
200
What is another name for experimental probability?
relative frequency
200
What word describes the likelihood of 1/4?
Unlikely
300
What is the formula to find the theoretical probability of an event?
P(event) = ( _____ / _____ )
P(event) = number of favorable outcomes
number of possible outcomes
300
Vernon tossed a coin 20 times. The results were 8 heads and 12 tails. What is the experimental probability of tossing heads?
2/5
300
The numbers 1 -12 are written on a card and placed in a bag. What is the probability that a number divisible by 3 is drawn?
1/3
300
What is a sample space?
A sample space is the set of all possible outcomes of an event.
300
What is the probability of spinning a 2 on a spinner labeled 1-5? (Write as a Fraction and Percent)
1/5 and 20%
400
There are 70 marbles in a bag. 15 are blue, 30 are red, 20 are orange and 5 are yellow. What is the probability you would pick a blue marble in simplest form?
15/70 = 3/14 (about 21%)
400
You don't know how many sides a spinner has.
After 60 spins, you see
Red-15
Blue-15
Green-15
Yellow-15
Based on this data alone, how many sides do you think the spinner has, and why?
Likely 4 sides, because all four colors appear equally and consistently, suggesting a fair 4-sided spinner
400
The letters of the word FOREVER are written on cards and then one card is drawn from a hat. Find the probability that a vowel is chosen?
3/7
400
If you roll a dice 5 times and record the number of times a 4 is rolled out of the total, is that theoretical probability or experimental probability?
Experimental probability
400
I have 3 red, 7 green and 4 blue M&Ms in my bag. What is the complementary event to choosing a green M&M?
Complementary event is NOT choosing green = 7/14 = 1/2 or 50%, 0.5
500
P(prime number)=
(round to the nearest percent)
5/12 = 0.42 = 42%
500
A six-sided cube with sides labeled A through F was rolled 50 times and the results were recorded:
A - 2
B - 6
C - 8
D - 13
E - 9
F - 12
How does the experimental probability of rolling F compare to the theoretical probability rolling F?
Theoretical: 1/6=0.167=16.7%
Experimental: 12/50=0.24=24%
The experimental probability is greater than the theoretical probability
500
The theoretical probability that you will participate in Track and Field is 2/7. There are about 344 students in your grade. About how many students in your grade will participate in Track and Field?
98
500
1) Probability is between numbers ___ and ___.
2) Think about a probability line. Fill out the likelihood of an event occurring.
a) The probability is 0 for an ____________ event.
b) The probability is 0.25 for an ___________ event.
c) The probability is 0.50 for an ___________ event.
d) The probability is 0.75 for a ___________ event.
e) The probability is 1 for a ____________ event.
1) Probability is between numbers 0 and 1.
2)
a) The probability is 0 for an impossible event.
b) The probability is 0.25 for an unlikely event.
c) The probability is 0.50 for an equally likely event.
d) The probability is 0.75 for a likely event.
e) The probability is 1 for a certain event.
500
A bag of marbles has 20 marbles. There are 8 blue, 7 red, and 5 white. What is the theoretical probability of grabbing a white marble? (Write answer as a Fraction and Percent)
5/20 and 25%