Conditional Prob
Outcomes and Sample Space
Simple Probability
Addition Rule
Compound Prob/ Multiplication rule
100
In a group of 100 computer buyers, 40 bought CPU, 30 purchased monitor, and 20 purchased CPU and monitors. If a computer buyer chose at random and bought a CPU, what is the probability they also bought a Monitor?
The probability that a buyer bought a monitor, given that they purchased a CPU, is 50%.
100
A pizza shop has garlic crust, butter crust and parmesan crust. There are 5 different one-topping pizzas you can choose from. How many different pizzas can you order?
What is 15?
100
What is the probability of spinning a 5 as a fraction, decimal and a percent?
What is 1/3 .33 and 33%?
100
If you take out a single card from a regular pack of cards, what is probability that the card is either an ace or spade?
Let X be the event of picking an ace and Y be the event of picking a spade.
P(XandY)=4/13
100
A bag contains 5 red marbles, 6 blue marbles and 4 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?
0.04396≈0.044
200
In a group of 10 people, 4 people bought apples, 3 bought oranges, and 2 bought apples and oranges. If a buyer chose randomly bought apples, using the conditional probability formula find out what is the probability they also bought oranges?
P(O|A) = P(A∩O) / P(A) = 0.2 / 0.4 = 0.5 = 50%
200
How many outcomes are there on the spinner?
What is 8 total outcomes?
200
A set of cards includes 15 yellow cards, 13 green cards and 12 blue cards. Which event has an outcome of 30%
What is the probability of drawing a blue card?
200
A single 6-sided die is rolled. What is the probability of rolling a 2 or a 5?
1/3
200
A bag contains 7 red marbles, 3 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be green?
0.01515=1.515%≈1.5%
300
Suppose there are 200 men, of which 100 are smokers, and 100 women, of which 20 are smokers. What is the probability that a person chosen at random will be a smoker? The answer is 120/300. Now, let us ask, what is the probability that a person chosen at random is a smoker given that the person is a women?
20/100 = 1/5
300
How many total outcomes are there on a regular number cube and the spinner shown?
What is 72 total outcomes?
300
There are 8 green marbles, 7 blue marbles and 6 red marbles in a jar. What is the probability of not drawing a red marble?
What is 15/21?
300
A spinner has 4 equal sectors colored yellow, blue, green, and red. What is the probability of landing on red or blue after spinning this spinner?
1/2
300
A bag contains 2 red marbles, 4 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green?
1/12
400
5. Suppose 36% of families own a dog, 30% of families own a cat, and 22% of the families that have a dog also have a cat. A family is chosen at random and found to have a cat. What is the probability they also own a do
.22/.3=.733
400
How many outcomes are there are 2 number cubes and flipping a coin?
What is 72 total outcomes?
400
In the game of chess the pieces come in black and white. For each color, there are the following pieces:
1 - queen, king
2 - rooks, bishops, knights,
8 - pawns
What is the probability of randomly selecting a rook in simplest form?
What is 4/32 = 1/8?
400
A glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. If a single marble is chosen at random from the jar, what is the probability that it is yellow or green?
7/10
400
A bag contains 5 red marbles, 3 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
5/91
500
There are 80% Python programmers in a batch and 40% R and Python programmers. What is the likelihood of a Python coder also being an R programmer?
.4/.8=.5
500
How many outcomes are there on the spinner shown, one number cube and a deck of cards?
What is 6 * 6 * 52 = 1872
500
In Ms. Water's Language Arts class students created projects to share with the class. There are 12 boys and 15 girls. What is the probability of not drawing a boy to present first in decimal form?
What is 0.55?
500
A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a king or a club?
4/13
500
A bag contains 4 red marbles, 5 blue marbles and 3 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be red?
0.01818=1.818%≈1.8%