Favorable Outcomes
Predicting
Experimental and Theoretical Probability
Probability Models
100
A jar contains 3 blue marbles, 2 green marbles, 5 yellow marbles and 6 purple marbles.
Theoretically, if a marble is chosen 125 times, how many times would you expect it to chose a green marble?
16 times
100
What is the difference between experimental and theoretical probability?
Theoretical probability is what is expected to happen.
Experimental is what actually does happen.
200
A jar contains 3 blue marbles, 2 green marbles, 5 yellow marbles and 6 purple marbles.
An marble is chosen 40 times and the results of the experiment are shown below:
Blue - 15
Green - 7
Yellow - 8
Purple - 10
Based on the experiment, if a marble is chosen 125 times, how many times would you expect to choose a green marble?
22 times
200
Sally rolled a die 26 times, It landed on: 1 - 7 times, 2 - 4 times, 3 - 3 times, 4 - 6 times, 5 - 3 times, 6 - 3 times.
What is the theoretical and experimental probability of rolling a 4?
Theoretical: 1/6
Experimental: 3/13
200
Write a sample space of the following event.
300
A spinner has the numbers 1 - 10 on it.
How many favorable outcomes are there for spinning a number that is at most 4?
4
300
Theoretically, if the spinner was spun 300 times, how many times would you expect it it land on yellow?
25 times
300
What is the theoretical probability of not landing on green?
3/4
400
A spinner has the numbers 1- 10 on it.
How many favorable outcomes are there for spinning a number that is at least 6?
5
400
Jackson's mother recorded what color shirt Jackson wore on each day recently.
brown-8
yellow-10
green-11
gray-1
black-6
Considering this data, how many times would you expect Jackson to wear a black shirt in the next 42 days?
7 times
400
A 4 sided spinner was spun 50 times. #1 was landed on 6 times, #2 was landed on 11 times, #3 was landed on 19 times, #4 was landed on 14 times.
What is the theoretical and experimental probability of landing on #4?
Theoretical: 1/4
Experimental: 7/25
400
Carter chooses a marble at random from a bag. There is 1 white marble, 2 green marbles, 1 black marble, and 2 red marbles.
Write a sample space of this event?
500
A spinner has the numbers 1 - 10 on it.
How many favorable outcomes are there for being an even number OR greater than 4?
8
500
The spinner was spun 50 times and the results are recorded below:
Dark purple - 6
Yellow - 5
Red - 12
Light purple - 8
Light Blue - 10
Green - 9
Based on the experiment, if the spinner was spun 175 times, how many times would you expect it to not land on red?
133
500
Kyle rolls a dice and it lands on 1 - 7 times, 2 - 10 times, 3 - 1 time, 4 - 6 times, 5 - 6 times, and it doesn't land on 6.
How likely is landing on 4?
20%, unlikely
500
Write a probability model of the event.
P(A)= 2/8 = 1/4
P(E)= 3/8
P(I)= 1/8
P(O)= 1/8
P(U)= 1/8