Venn Diagrams
Probability (OR)
Probability (AND)
Expected Value
Random Chance
100
How many people like Hockey AND Gymnastics?
6
100
What is the probability of rolling a 2 or a 4 on a single 6-sided die?
1/3 or .33 or 33%
100
What is the probability if you flip a coin twice and it lands heads AND then heads again?
1/4
100
A 2 sided coin is being tossed. If it lands heads, you are given $5. If it lands tails, you lose $3. What is the expected value of this game?
1
100
What is the sample space for a rolling one die?
{1,2,3,4,5,6}
200
How many people like Vegetables?
28
200
If there is a bag with 5 blue marbles, 6 red marbles, and 3 yellow marbles, what is the probability I pull a blue or a yellow marble?
8/14 or 4/7
200
If you have a six sided dice, what is the probability that you roll a six and then a one.
1/36
200
Find the percentage grade (weighted average) in a class if you have a 60% on tests and 80% on homework, but tests are 50% of your grade and homework is 50% of your grade.
70%
200
What is the sample space for rolling two dice?
{2,3,4,5,6,7,8,9,10,11,12}
300
This is the number of people put into groups A, B, and C. How many people are in group B and C?
15
300
If I have a two six sided dice, what is the probability of rolling doubles or a seven?
12/36 or 1/3
300
If you have a bag of 3 blue marbles and 5 yellow marbles, what is the probability that you draw two consecutive yellow marbles if you replace the marbles each time?
25/64
300
There is a raffle at Red Bluff High School. The grand prize is $500. There are 4 consolations prizes of $100. The school sells 1000 tickets for $1. What is the expected value?
-0.1
300
What are the 4 different suits for playing cards?
Hearts, Diamonds, Clubs, and Spades
400
How many people don't like Drama?
236
400
In a standard 52-card desk of cards, what is the probability of picking a red card or a king?
28/52 or 7/13
400
If you have a standard desk of cards, what is the probability of drawing two kings without replacement?
12/2652 or 1/221
400
You are making an investment into crypto and you have a friend who tells you there is a 35% chance you will lose $30,000, a 40% chance that you will break even, and a 25% you will make $55,000. You consider this to be a reliable source, so what is your expected money that you would earn (expected value)?
$3,250
400
Draw a tree diagram for all the different ways you can pick out 3 pairs of pants, 2 shirts, and 3 hats
500
26 people like basketball
30 people like baseball
34 people like football
10 people like basketball and baseball
15 people like baseball and football
12 people like football and basketball
2 people like all 3 sports
How many people like only baseball?
7
500
What is the probability of drawing a card less than 5 or a face card?
28/52 or 7/13
500
If you have a bag of 4 blue marbles and 3 yellow marbles, and 2 green marbles, what is the probability that you draw a blue marble and then a green marble if you don't replace the marbles each time?
8/72 or 1/9
500
A carnival game consists of drawing one ball from a box containing two yellow balls, five red balls, and eight white balls. If the ball is yellow, you win $5. If the ball is red, you win $2. If the ball is white, you lose $3.00.
-0.27
500
If Victor Wembenyama shoots 70% from the field and 50% from the free throw line, is it worth it to foul him on every play?
What is the expected value of him shooting, versus him shooting a free throw?
1.4 if he shoots a field goal, 1 if he shoots a free throw, Foul him!