Experimental Probability
Counting Methods & Sample Spaces
Theoretical Probability
Compound Events
Making Predictions
100
In a school cafeteria, 20 students bought juice, 37 students bought milk, and 18 students bought water. What is the experimental probability that the next student will choose juice? Be sure to simplify.
20/75 = 4/15 chance that the next student will choose milk
100
The local restaurant has a lunch special in which you can pick an appetizer, a sandwich, and a drink. How many different lunch-special combinations are there is you have the following choices? Make a tree diagram to show this. Appetizer: Soup or salad; Sandwiches: Turkey, roast beef, or ham; Drinks: juice, milk, or iced tea
18 combinations
100
What is the probability of rolling an even number greater than 2 on a number cube?
1/3; 4 or 6
100
What is the probability of getting an even number then getting a 5 if you roll a number cube?
1/2 x 1/6 = 1/12 chance
100
Based on a sample survey, about 2% of the items produced by a company are defective. Out of 5,000 items, how many can you predict will be defective?
100 items (1% would be 50 items because 50 x 100 = 5,000)
200
Iris asked 60 students what time they go to bed. Twelve said 8:00, 24 said 8:30, 18 said 9:00, and 6 students said 6:30. What is the experimental probability that a student chosen at random goes to bed at 8:30 p.m.?
2/5
200
Marsha can wear jeans or black pants with a red, blue, or white shirt. How many different outfits can she choose from? Write an organized list.
6 outfits: jeans/red, jeans/blue, jeans/white, black pants/red, black pants/blue, black pants/white
200
In a bag, there are 17 red marbles, 22 blue marbles, and 15 yellow marbles. What is the probability of picking a blue marble? What is the probability of not picking a yellow marble?
11/27; 13/18
200
What is the probability of picking a queen then a diamond from a deck of cards?
1/13 x 1/4 = 1/52
200
If you roll a fair number cube 90 times, how many times can you expect to roll a multiple of 2?
30 tiimes
300
Iris asked 60 students what time they go to bed. Twelve students said 8:00, 24 said 8:30, 18 said 9:00, and 6 students said 9:30. Find the experimental probability that a student chosen at random goes to bed before 9:30.
54/60 = 9/10
300
Gretchen's apartment building is protected by a security system that requires a pass code to let in residents. The color is made up of the numbers 4, 6, and 8. The code is three digits long, and a digit can repeat. What are all the possible pass codes? Make a tree diagram to show them.
27 codes
300
A bag of marbles has 6 purple marbles, 17 pink marbles, 26 white marbles, and 17 orange marbles. What is the probability of picking a pink or orange marble? A purple or white marble?
17/33; 16/33
300
A bag holds 4 blue marbles and 2 yellow marbles. You choose a marble and flip two coins. What is the probability that a blue marble is chosen and the first coin shows heads while the second coin shows tails?
2/3 x 1/2 x 1/2 = 1/12
300
In a sample survey, 500 teenagers indicated that 175 of them use their computers regularly. Out of 4,500 teenagers, predict how many use their computers regularly.
1,575 teenagers
400
A goalie in a soccer game blocked 12 out 16 attempted shots. Use this experimental probability to determine how many shots out of 28 the goalie will block in the next game.
3/4 of the shots which would be 21 shots
400
Peter has four photos to arrange in a frame. How many different ways can he arrange the photos?
24 different ways
400
At a wedding reception, the tables are numbered 1 through 37. What is the probability you will be seated at a table that is a multiple of 3?
12/37
400
You roll a number cube twice. What is the probability of getting the same number both times?
6 out of 36 outcomes so 1/6
400
In a sample survey, 100 sixth-grade students indicated that 15 of them take music lessons. Out of 500 sixth-grade students, predict how many take music lessons.
60 students
500
At a Burger King, 45 out of 54 people ordered a drink with their meal. What is the experimental probability that a person will order a drink with their meal? Using this probability, how many out of 90 people will order a drink?
5/6; 75 people
500
Bobby will choose a tie, shirt, pants, and shoes from his closet to wear to work. Find the number of different outfits he can make if he has 7 ties, 12 shirts, and 4 pairs of shoes.
336 outfits
500
A concert hall has seats numbered from 1 through 500. What is the probability that you will be seated in a chair that is a multiple of 25?
20/500 = 1/25
500
You have two spinners that are each divided into 4 parts: red, yellow, green, and blue. What is the probability of getting a red and a yellow? (Doesn't matter which spinner gets which color)
16 different outcomes, can get RY or YR so 2/16 or 1/8
500
Based on previous attendance, the managers for a summer concert series estimate the probability that a person will attend any one event in 90%. The chairs set up around the stage seat 400 people. If the managers want to be at full capacity every concert, about how many tickets should they sell?
444-445 tickets