How many outcomes?
Basic probability
Permutation/ combination probability
Conditional probability
Overlapping and binomial probability
100
You roll 2 dice and flip 1 coin
72
100
What is the probability of rolling a multiple of 3 on a die?
1/3
100
A race has 8 contestants. The gold, silver, and bronze medal will be awarded
1. permutation or combination?
2. how many ways can the gold, silver, and bronze medal be awarded?
1. permutation
2. 336
100
What is the probability that a randomly selected female prefers coffee?
3/8
100
A survey of 100 college students revealed that 50 live in the dorms. 32 of them are freshmen. If 20 of them are freshmen and live in the dorms, find the probability that you randomly select a student who is a freshman or lives in the dorms.
31/50
200
You are picking a shirt, a pair of pants, and shoes. You have 4 shirts, 3 pants, and 5 pairs of shoes
60
200
A soda shop has 5 flavors: strawberry, cola, cranberry, vanilla, and orange. What is the probability of selecting a non-fruit flavor?
2/5
200
I have 13 puzzles on my shelf. I am selecting 5 to take with me on vacation.
1. permutation or combination?
2. how many ways can I select 5 puzzles?
1. combination
2. 1287
200
What is the probability that a person who prefers tea is female?
2/3
200
A survey of 100 college students revealed that 45 live in the dorms. 21 of the students are freshmen. If 37 of them are freshmen or live in the dorms, find the probability that you randomly select a student who is a freshman and lives in the dorms.
29/100
300
A family of 4 lines up in a row for a Christmas photo shoot
24
300
A bag has 10 red marbles, 3 blue marbles, and 7 green marbles. What is the probability of choosing a red marble, NOT replacing it, then selecting another red marble?
9/38
300
You have 10 books. You randomly select 2
1. permutation or combination?
2. what is the probability that you select your 2 favorite?
1. combination
2. 1/45
300
What is the probability that a randomly selected frozen fruit is an apple?
6/19
300
You flip a coin 6 times. What is the probability of flipping heads exactly 4 times?
15/64
400
A shelf has 50 movies on VHS. You select 3 different VHS tapes to give to 3 different friends.
117,600
400
The library has 4 fantasy books, 3 thriller books, and 2 romance books available. What is the probability of selecting a fantasy book, putting it back, then selecting a thriller book?
4/27
400
The school will be electing a president, vice president, and secretary from 12 candidates.
1. permutation or combination?
2. what is the probability that Alvin will be president, Simon will be VP, and Theodore will be secretary?
1. permutation
2. 1/1320
400
What is the probability that a randomly selected orange is fresh?
16/21
400
You flip a coin 6 times. What is the probability that you flip heads 5 or more times.
7/64
500
A class has 25 students and is choosing 2 students to be class representatives
300
500
A deck of cards has 13 spades, 13 diamonds, 13 clubs, and 13 hearts. What is the probability of selecting three hearts if you DO NOT replace the cards?
11/850
500
The movie theatre has 16 films currently showing. You and your friends are deciding on 4 films to see.
1. permutation or combination?
2. what is the probability that you select the only 4 rated R movies?
1. combination
2. 1/1820
500
What is the probability that a randomly selected fresh fruit is an apple or an orange?
3/8
500
A swim team has 20 girls and 16 boys. A relay consists of 4 swimmers. What is the probability that a coach selects exactly 3 girls for the relay? Round to the nearest three decimal places.
0.305