Simple Probability
Compound Probability
Fundamental Counting Principle
Permutation/Combinations
Frequency Tables
100

A standard six-sided die is rolled. What is the probability of rolling an even number?

What is 1/2?

100

You flip a fair coin twice. What is the probability of landing on heads both times?

What is 1/4?

100

A diner offers 3 appetizers and 4 main courses. How many unique two-course meals can you order?

What is 12?

100

In how many different orders can 4 books be arranged side-by-side on a single shelf?

What is 24?

100

P(male)

What is 44/97?

200

A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. What is the probability of drawing a blue marble at random?

What is 3/12 or 1/4?

200

You roll two standard six-sided dice. What is the probability of rolling double sixes?

What is 1/36?

200

You are setting a 3-digit passcode using digits 0–9. If repeating numbers is allowed, how many total passcodes are possible?

What is 1,000?

200

A teacher wants to pick a committee of 3 students from a group of 5. How many different committees can be formed?

What is 10?

200

P(female republican)

What is 15/97?

300

A standard deck of 52 cards is shuffled. What is the probability of drawing a Heart?

What is 13/52 or 1/4?

300

A drawer has 3 red socks and 2 blue socks. You draw one sock, keep it out, and draw a second. What is the probability both are red?

What is 3/10?

300

An ice cream shop offers 2 cone types, 5 ice cream flavors, and 3 toppings. How many single-scoop cone combinations can you build?

What is 30?

300

Out of 8 club members, how many ways can you assign the specific roles of President, Vice President, and Treasurer?

What is 336?

300

P(other)?

What is 30/97?

400

A spinner has 10 equal sections numbered 1 through 10. What is the probability of spinning a prime number?

What is 4/10 or 2/5?

400

You draw a card from a standard deck, put it back, shuffle, and draw another. What is the probability of drawing an Ace both times?

What is 1/169?

400

Five runners are in a race. In how many different ways can 1st, 2nd, and 3rd place be awarded?

What is 60?

400

You are choosing 4 toppings for a pizza from a list of 8 options. How many unique pizza combinations can you make?

What is 70?

400

P(male given democrat)

What is 21/36?

500

What is the probability of picking a vowel at random from the word "PROBABILITY"?

What is 4/11?

500

A spinner has 4 equal colors (Red, Blue, Green, Yellow). You spin it and roll a 6-sided die. What is the probability of getting Green AND rolling an odd number?

What is 1/8?

500

A shirt comes in 4 sizes, 6 colors, and either short or long sleeves. How many total shirt variations exist?

What is 48?

500

How many unique anagrams can be formed by rearranging all the letters in the word "LEVEL"?

What is 30?

500

P(republican given female) 

What is 18/53?