This is the probability of rolling a 1 on a regular number cube.
What is 1/6
100
This is the probability of rolling a 2 or a 4 on a regular number cube.
What is 1/3
100
What is 3!
3 x 2 x 1 = 6
100
What is 7!
7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040
100
This is the total number of outcomes for tossing a coin and rolling a number cube.
12
200
This is the probability of rolling an even number on a regular number cube.
What is 1/2
200
A number cube is tossed 20 times and lands on 1 two times and on 5 four times. What is the theoretical probability of landing on a 5?
1/6
200
What is 2! x 3!
2! x 3! = 2 x 1 = 2
3 x 2 x 1 = 6
2 x 6 = 12
200
How many different 5-digit zip codes are there if no digit is repeated?
30,240
200
This is the total number of outcomes for choosing black, brown, or blue socks with boots, gym shoes, or dress shoes
9
300
A coin is tossed, and a number cube is rolled. What is the probability of tossing heads and rolling a 3 or a 5?
1/2 x 2/6 = 2/12 = 1/6
300
A number cube is tossed 20 times and lands on 1 two times and on 5 four times. What is the experimental probability of not landing on 1?
9/10
300
The finals of the Middle School Appalachian League features 8 swimmers. In how many ways can the swimmers finish in first or second place?
8 x 7 = 56
300
You are allowed to omit three out of 12 questions on a quiz. How many ways can you select the questions to omit?
(12 x 11 x 10)/3! = 220
300
This is the total number of outcomes for picking a number 1 to 5 and choosing the color red, white, or blue
15
400
A red and a blue number cube are rolled. Find the probability that an odd number is rolled on the red cube and a number greater than 1 is rolled on the blue cube.
3/6 x 5/6 = 15/36 = 5/12
400
A cooler is filled with 12 colas and 9 diet colas. If Victor randomly chooses two without replacing the first, what is the probability that he will choose a cola and then a diet cola?
12/21 x 9/20 = 3/21 x 9/5 = 3/7 x 3/5 = 9/35
400
How many ways can six students be arranged in a lunch line?
720
400
How many ways can four finalists be selected from 50 contestants?
230,000
400
This is the total number of outcomes for choosing between the numbers 1, 2, or 3 and the colors blue, red, and green
9
500
There is a snack box containing 5 chocolate, 6 strawberry, and 3 vanilla snack bars. What is the probability of drawing a chocolate snack bar and then, without replacing, drawing another chocolate snack bar?
5/14 x 4/13 = 5/7 x 2/13 = 10/91
500
A coin is tossed 50 times, and it lands heads 28 times. Find the theoretical probability of the coin landing heads.
1/2
500
How many handshakes can occur between six people if everyone shakes hands
15
500
How many ways can two names be chosen from 76 in a raffle if only one entry per person is allowed?
2,850
500
Judy tosses a coin four times. Give the total number of outcomes.