Probability that is based on repeated trials of an experiment
Experimental Probability
A food truck offers a lunch special.
Customers have a choice of a sandwich
(ham, turkey, or veggie), a side (chips or
pretzels), and a drink (soda or juice). How
many possible outcomes are in the sample
space?
12
A hat contains cards with different colors.
Annabella randomly selects a card from
the hat and returns the card to the hat
after noting the color. After randomly
selecting a card 300 times, she has picked
a purple card 70 times. Based on her
results, what is the estimated probability
that Annabella selects a purple card?
7/30
Dave wants to create a simulation that represents and event with a 25% CHANCE OF occurring. Describe a model he could use.
Possible Answer: A spinner with 4 equal sections, numbered 1-4, where 1 represents the event occurring.
A number cube is rolled 150 times. What is the expected number of times that a 3 is rolled?
25
the set of all possible outcomes
Sample Space
Inside a bag are 30 colored marbles.
There are 6 yellow, 9 red, 7 white, and
8 blue. One marble is drawn at random.
Which color is most likely to be chosen?
red
A spinner is divided into 4 sections using
the colors red, orange, green, and blue.
After 50 trials, the spinner has landed on
red 10 times, on orange 16 times, on green
6 times, and on blue 18 times. Based
on the results, what is the estimated
probability that the spinner does not
land on green?
22/25
Mickey runs a restaurant. About 45% of
his customers pay with cash and the rest
pay with a credit or debit card. Suppose
Mickey wants to use a random number
generator to simulate the payment
method used by the next 5 customers. If
the generator produces numbers 1
through 20, how many numbers should
be used to represent a customer paying
with cash?
9
4/27
Double Jeopardy!!
A representation of a situation or problem with a similar but simpler model or a more easily manipulated model in order to determine experimental results.
Simulation
A spinner is divided into sections that are
red, green, or blue, as shown by the first
letter of each color.
What is the probability that the spinner
will land on green?
3/8
Based on the results, what is the probability of rolling a 3 or 4? Simplify your fraction.
53/160
Sia makes 10% of the shots she attempts in soccer at any given time. A random number generator was used to generate 5 sets of random numbers from 1 to 10 as shown, where number 1 represents a successful shot and numbers 2–10 represent a missed shot. Find the experimental probability that Sia will make at least 2 of the next 10 shots. Write your answer as a percent.
20%
Brynlee asks people at a theater how old they are. She finds that 8 out of 75 people are under the age of 12. If there are 2,434 people at the theater, how many people can Brynlee expect to be under the age of 12 based on the experimental probability?
260
An event made up of two or more simple events.
Compound Probability
Lyn has four different types of stickers
and keeps them in a container. She has
50 stickers with a solid color, 32 with
stripes, 24 with polka dots, and 14 with
stars. What is the probability of selecting
a sticker that is not a solid color?
7/12
What is the experimental probability that she wraps a gift in paper and uses a ribbon, P(paper, ribbon)? Write your answer as a fraction in simplest terms?
1/9
There is a 20% chance that a customer walking into a store will make a purchase. A computer was used to generate 5 sets of random numbers from 0 to 9, where the numbers 0 and 1 represent a customer who walks in and makes a purchase.What is the experimental probability that at least one of the first three customers that walks into the store will make a purchase?
2/5
Jaime took a sample of video game owners to find how many own a driving game.
Sample size: 80
Number who own a driving game: 24
Population: 340
Based on the sample, how many video game owners can Jaime predict own a driving game?
102
Events that cannot occur at the same time.
Mutually Exclusive
Double Jeopardy
You randomly select a letter from the
letters A, B, C, D, E and flip a coin. The
table represents the sample space, in which
H represents the coin landing heads up
and T represents landing tails up.
What is the probability of selecting the
letter C or the coin landing tails up?
3/5
Shane plays baseball. The chart shows the results of his first 100 times at bat. Write a proportion and solve it to predict the number of home runs Shane will hit in his next 460 times at bat.
23 home runs
There is a 20% chance that a particular volcano will erupt during any given decade. A random number generator generated 10 sets of random numbers from 1 to 5 as shown. The number 1 represents the volcano erupting. Find the experimental probability that the volcano will erupt in 1 or 2 of the next 5 decades.
Write your answer as a percent.
50%
Edith spun a spinner with 5 equal sections labeled 1–5. The spinner landed on 1 five times, on 2 three times, on 3 four times, on 4 three times, and on 5 five times. For which number is the experimental probability the same as its theoretical probability? Explain.
The theoretical is the same for each number, 20%. The experimental probability for spinning a 3 was
4/20 , which is the same as the theoretical probability, since that equals 20%.