Basic Probability
Addition Rule
Multiplication Rule
Conditional Probability
100
A bag contains 4 green marbles, 2 red marbles, and 1 yellow marble. What is the probability of selecting a red marble?
2/7
100
In a group of 96 people, 19 were drinking punch and 23 were eating fish. 10 were drinking punch and eating fish. What is the probability of randomly selecting someone that either drinking punch or eating fish?
19/96 + 23/96 - 10/96 = 32/96
100
John rolled a die twice what is the probability of rolling an odd number on the first roll and a 2 on the second roll?
3/6 x 1/6 = 4/36
100
Rap Hip-Hop Jazz Total Men 30 47 81 158 Women 14 53 75 142 Total 44 100 156 300 What is the probability of randomly selecting a woman, given she likes rap music?
14/44 = 32%
200
A bag contains 4 green marbles, 2 red marbles, and 1 yellow marble. What is the probability of selecting a yellow marble?
1/7
200
In a group of 72 people, 50 are married and 35 are female. 20 of the females are married. What is the probability of randomly selecting someone that is married or female?
50/72 + 35/72 - 20/72 = 65/72
200
Maurice is going to draw two cards from a standard deck without replacement (he is not going to put the cards back). What is the probability that the first card is a jack and the second card is a two?
4/52 x 4/51 = 16/2652
200
Rap Hip-Hop Jazz Total Men 30 47 81 158 Women 14 53 75 142 Total 44 100 156 300 What is the probability of randomly selecting a man, given he likes hip-hop music?
47/100 = 47%
300
The probability that it will rain this weekend is 0.21. What is the probability it will not rain?
1 - 0.21 = 0.79 = 79%
300
In a group of 92 students, 35 have brown eyes and 21 have hazel eyes. Find the probability that a student picked from this group either has brown or hazel eyes.
35/92 + 21/92 = 56/92
300
Reggie rolled a die 2 times. What is the probability that he rolled a 6 on the first roll, and a 5 on the second roll?
1/6 x 1/6 = 1/36
300
Rap Hip-Hop Jazz Total Men 30 47 81 158 Women 14 53 75 142 Total 44 100 156 300 What is the probability of randomly selecting someone who likes jazz music?
156/300 = 52%
400
A card is drawn from a deck of 52 cards. Find the probability of drawing a black Jack
2/52
400
In a deck of cards what is the probability of picking a 9 or a spade?
4/52 + 13/52 - 1/52 = 16/52
400
Henry has 3 green polos and 6 red polos. With replacement, what is the probability that he takes 1 green polo and 1 red polo out of his closet without looking?
3/9 x 6/9 = 18/81
400
The probability that it is Friday and that a student is absent is 0.05. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday?
0.05 / .2 = 25%
500
You go to a restaurant and can order a hamburger, a hotdog, or nachos. To drink you can have tea, water, soda, coffee, or juice. How many different ways could you order food and drink?
3 x 5 = 15
500
There are 105 students at a football game. 32 people there are boys and 40 are seniors. 10 of the boys are seniors. What is the probability of randomly selecting a boy or a senior?
32/105 + 40/105 - 10/105 = 62/105
500
Mike has 2 black hats, 1 green hat, and 5 red hats. If he randomly pulls out two hats one after the other without replacement, what is the probability he pulls out two red hats?
5/8 x 4/7 = 20/56
500
In DC, 88% of all households have a television. 34% of all households have a television and a computer. What is the probability that a household has a computer given that it has a television?
.34/.88 = 39%