Two-way table
For a certain class, the following data table summarizes the amount of sleep of students and whether or not they have an A in the class. What is the probability that a student chosen randomly from the class slept 6 hours or less?
Slept more than 6 hours Slept 6 hours or less
Has an A 4 3
Does not have an A 2 11
7/10 or 0.7
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student who plays an instrument does not play a sport?
Plays an instrument Does not play an instrument
Plays a sport 4 2
Does not play a sport 13 11
13/17
Which event is least likely to occur?
A. Rolling a number greater than or equal to 1 on a eight-sided die, numbered from 1 to 8.
B. Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on yellow.
C.Winning a raffle that sold a total of 100 tickets, if you buy 31 tickets.
D.Reaching into a bag full of 34 strawberry chews and 6 cherry chews without looking and pulling out a strawberry chew.
B. Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on yellow.
Four students are running a race. How many different ways can they come in first, second, third, and fourth?
24
Anthony is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with three equal-sized sections labeled Walk, Run, Stop, spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, and spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange?
60
For a certain class, the following data table compares how many students have a cat or a dog. What is the probability that a student chosen randomly from the class does not have a dog?
Has a cat Does not have a cat
Has a dog 7 2
Does not have a dog 13 6
19/28
In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student who has an A is a female?
Female Male
Has an A 2 7
Does not have an A 4 5
2/9
Which event is most likely to occur?
A. Rolling a number greater than 4 on a twelve-sided die, numbered from 1 to 12.
B. Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on red or blue or yellow or green.
C. Winning a raffle that sold a total of 100 tickets, if you buy 40 tickets.
D. Reaching into a bag full of 16 strawberry chews and 44 cherry chews without looking and pulling out a strawberry chew.
B. Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on red or blue or yellow or green.
Three students, Camila, Josiah, and Kennedy, line up one behind the other. How many different ways can they stand in line?
6
Angel is trying to pick out an outfit for the first day of school. He can choose from 8 pairs of pants, 7 t-shirts, 3 sweaters or hoodies, and 5 pairs of shoes. How many different outfits does Angel have to choose from?
840
For a certain class, the following data table compares how many students have a brother or a sister. What is the probability that a randomly chosen student from the class has a sister?
Has a brother Does not have a brother
Has a sister 3 4
Does not have a sister 13 10
7/30
In a class of students, the following data table summarizes how many students passed a test and completed the homework due the day of the test. What is the probability that a student passed the test given that they completed the homework?
Passed the test Failed the test
Completed the homework 15 3
Did not complete the homework 4 5
15/18 or 5/6
Which event is least likely to occur?
A. Rolling a 2 on a six-sided die, numbered from 1 to 6.
B. Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or blue.
C. Winning a raffle that sold a total of 100 tickets, if you buy 42 tickets.
D. Reaching into a bag full of 66 strawberry chews and 14 cherry chews without looking and pulling out a strawberry chew.
A. Rolling a 2 on a six-sided die, numbered from 1 to 6.
A lock has a 3-number code made up of 23 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?
10,626
Xin is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, and spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange?
96
For a certain class, the following data table compares how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class does not play a sport?
Plays an instrument Does not play an instrument
Plays a sport 3 4
Does not play a sport 15 8
23/30
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student has a cat given that they do not have a dog?
Has a cat Does not have a cat
Has a dog 4 3
Does not have a dog 6 16
6/22 or 3/11
Which event is most likely to occur?
A. Rolling an odd number on a twelve-sided die, numbered from 1 to 12.
B. Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on red or blue or green.
C. Winning a raffle that sold a total of 100 tickets, if you buy 41 tickets.
D. Reaching into a bag full of 33 strawberry chews and 7 cherry chews without looking and pulling out a strawberry chew.
D. Reaching into a bag full of 33 strawberry chews and 7 cherry chews without looking and pulling out a strawberry chew.
Five students are running a race. How many different ways can they come in first, second, third, fourth, and fifth?
120
How many different possible outcomes are there if you spin 3 spinners labeled Triangle, Square, Circle, Hexagon?
64
For a certain class, the following data table summarizes the amount of sleep of students and whether or not they have an A in the class. What is the probability that a student chosen randomly from the class is a student who slept more than 6 hours who has an A?
Slept more than 6 hours Slept 6 hours or less
Has an A 4 10
Does not have an A 2 9
4/25 or 0.16
In a class of students, the following data table summarizes how many students passed a test and completed the homework due the day of the test. What is the probability that a student who completed the homework failed the test?
Passed the test Failed the test
Completed the homework 15 4
Did not complete the homework 3 5
4/19
Which event is least likely to occur?
A. Rolling a number less than 6 on a six-sided die, numbered from 1 to 6.
B. Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on yellow or red.
C. Winning a raffle that sold a total of 100 tickets, if you buy 70 tickets.
D. Reaching into a bag full of 3 strawberry chews and 17 cherry chews without looking and pulling out a strawberry chew.
D. Reaching into a bag full of 3 strawberry chews and 17 cherry chews without looking and pulling out a strawberry chew.
There are 23 students in a homeroom. How many different ways can they be chosen to be elected President, Vice President, Treasurer, and Secretary?
212520
Chase is trying to pick out an outfit for the first day of school. He can choose from 4 pairs of pants, 8 t-shirts, 7 sweaters or hoodies, and 3 pairs of shoes. How many different outfits does Chase have to choose from?
672