Theoretical/ Likelihood
Experimental
Simulations
Compound Events
Random
100
What is theoretical probability?
The expected probability of an event
100
Jake has a spinner with 5 equal sections, each a different color. After only 10 spins, the pointer had landed on red 40% of the time. After a whopping 1,000 spins, the pointer landed on red only 22% of the time. How can Jake account for this change in experimental probability?
As the number of trials increase, the experimental probability reaches closer to the theoretical probability.
100
Darian made 8 of the 12 free throws he attempted. He wants to simulate how many free throws he will make in the next 22 games. Darian makes a spinner with 3 equal sections, where 2 represent the shots made and 1 represents the shots missed. Explain why this will or will not work.
This will work because 8/12 times he makes it, which simplifies to 2/3. So, 2 of the sections represent the shots he makes, and 1 represents the shot he missed. He will spin it 22 times.
100
You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows a one?
1/12
100
How many outfits can be created from 5 pairs of jeans, 10 shirts and 3 pairs of sneakers?
150 outfits
200
A bag of marbles has 3 red marbles, 5 black marbles, and 2 white marbles. What is the probability of pulling out a red marble?
3/10 or 30%
200
What is experimental probability?
200
Judy did not study for her math test. It has 10 True-False questions. She makes a spinner with 10 equal sections, with 1 labeled "T" and the 1 labeled "F". She leaves the other sections blank. Explain whether this simulation works or does not work.
This simulation does not work because she has a 50/50 chance of getting the question right. So, she could flip a coin 10 times, etc.
200
You flip a coin and then roll a 20 sided cube. What is the probability the coin lands tails up and the die shows a number greater than 18?
1/20
200
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 not pick an orange marble in simplest form?
5/7
300
What is the likelihood of each event happening:
a.) Raining meatballs:
b.) Today is Thursday.
c.) There is a 30% chance of rain tomorrow.
d.) You are going to have an ed puzzle tomorrow.
a.) impossible
b.) impossible
c.) unlikely
d.) likely
300
A letter tile is randomly selected from a bag, recorded, and replaced 100 times. The results are listed below. What is the experimental probability of selecting the letter "A"? A = 16 E = 11 I = 29 O = 19 U = 25
16/100
8/50
300
How many options?
8
300
Four coins are tossed. What is the probability that all four coins land on heads?
1/16
300
James had to choose between yellow, purple, green, blue, or orange wallpaper and orange, blue, red, green, or yellow carpet. Find the total number of possible outcomes when he selects one color of wallpaper and one color of carpet.
25
400
I have a pack of Starburst. There are 38 orange, 13 red, and 25 yellow. What is the probability that I pick an orange one?
38/76=1/2=50%
400
Mr. Currie spun a spinner 200 times. His results are recorded below.
Green: 25
Yellow: 60
Orange: 15
Pink: 50
Black: 25
Red:25
What was the experimental probability of spinning Orange?
15/200, 3/40
7.5%
=8%
400
The table shows a simulation of 3 7th grade students. 30% are wearing a blue shirt. Let 1-3 represent these students.
Find the probability that 2 out of 3 students are wearing blue?
5/30= 1/6
400
A card is chosen at random from a deck of 52 cards. It is replaced and a second card is chosen. What is the probability you draw an 8, then a jack?
1/169=0.6%
400
I flipped a coin 75 times. I got heads 40 times and tails 35 times.
Compare the experimental probability of landing on heads to the theoretical probability of landing on heads.
Experimental: 40/75=8/15=0.53=53%
Theoretical: 1/2=0.5=50%
The experimental probability is greater than the theoretical probability
500
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?
3/14= 21%
500
a.) Find the relative frequency.
b.) If you spin 300 times, what is the number of times you land on 1?
9/50 = 18%
54 times
500
This simulation shows 3 days of weather this week. There is a 50% chance of rain. Let the numbers 0-4 represent rain.
a.) What is the probability of rain all three days?
b.) What is the probability of no rain all three days?
a.) 6/30 1/5=20%
b.) 5/30 1/6= 17%
500
A jar holds 15 red pencils and 10 blue pencils. One pencil is chosen without replacement. What is the probability of choosing a red pencil, then another red pencil.
210/600
7/20
35%
500
A toy vending machine contains football helmets and sticky hands. There are 35 items in the machine. Winning a football helmet has four times as many favorable outcomes as winning sticky hands. How many of each item is in the machine?
Helmet: 28
Sticky hands: 7