At the Olympics, there are 100 competing divers. On the podium for 10m platform, there are 2 Chinese divers. If there are 5 Chinese divers competing how many different orders of the podium could there be?

What is the probability that if you roll 3 dice, only one comes up as 2?

What is the probability that in a 52-card deck you will draw black or number card?

Evan has 12 exclusive Hannah Montana fan cards that he wants to proudly display. How many different ways can he display them?

Mike is a HUGE fortnite fan. His win percentage is 8.2% (he wins 8.2% of the games he plays) what is the chance that he wins 3 games out of 4 (round to the nearest thousandth)

The probability that Forrest gets eaten by a bear on outdoor ed is 1.088345% and the probability that he gets stung and dies to a bee is .824444%. Is the probability higher that Forrest dies to 1 out of 12 bears or 1 out of 15 bees?

How many unique combinations can be made from the word ‘toppings’?

Chris Rock’s Pokemon card collection is quite prolific. He has 15 special edition, gold cards and 45 regular cards. How many different ways can these 60 cards be organized if the fifteen have their own special shelf?

Jasmine, Evelynn, and Konrad are all participating in class elections this year. Jasmine and Konrad are running for council chair against 15 other candidates and Evelynn is running for president against 5 other candidates. There is one opening for president and five openings for council chair. What are the odds that all three people win class elections?

You have 62 books in your library and would like to read 30 of them. In how many different ways can you pick 30 books to read from the 62 different books in your library?

You take four cards from a normal deck of cards. In how many different ways can you choose four face cards from the deck?

You take four cards from a normal deck of cards. What is the probability that you get two red cards and two black cards?

How many different ways can you rearrange the letters in the word “Jujustu” from the anime jujustu kaisen?

Barnes & Noble has 100 copies of the latest manga volume of spy x family, 7 copies are damaged. You buy 12 of the copies, what is the probability you get 9 good copies and 3 damaged ones?

For the jujustu kaisen nitotan figure blind box collection, you have a 45.5% chance of getting a gojo figure. You buy 13 blind boxes, what is the probability that you get at least 5 gojo figurines?

You roll 3 distinct dice. What are the total number of outcomes that can happen when you roll the 3 dice?

There are 20 pennies and 35 nickels. In how many ways can you select 4 pennies and 2 nickels?

There are 57 games and 21 of them are made by nintendo. If you randomly select 9 of them, what is the probability that you will get 1, 2, 3, or 5 nintendo games?

You have four choices of cake flavor for your grandma’s birthday cake. You also have four choices of icing, and 6 possible toppings. How many ways can you create a cake with one flavor, one icing, and one topping?

Two cards are drawn from a normal deck one after the other. What is the probability that the first card is a red face card, and the second card is a black odd card? (No replacement)

Two normal dice are rolled, what is the probability that their sum is greater than 3?

What is the 17th term of (6x-8y)^20?

In a track meet, two schools are competing with each other with 3 members on each team. In a race between all six competitors how many possible arrangements are there for a five place podium where one school takes the top three spots?

How many different 11-letter arrangements can be made from the following word: Mississippi

What is the probability of drawing a red face card from a normal 52-card deck?

15 people are running in a race, how many different orders of first, second, and third place are possible?

There is an online giveaway for stationary. The 7 consecutively-chosen winners out of 200 candidates get stationary. How many different orders of these winners are possible?

There are 300 young students waiting to get accepted into Hogwarts. If only one out of every 15 students currently in Hogwarts are Muggles [students who do not have magic in their blood], what is the chance for one young Muggle to get accepted?

As a rising Chadwick freshman, Mike has to participate in at least two team sports, or one team sport and a trimester of a daily fitness class to get full athletic credit. There are 15 boys/co-ed team sports, and 3 daily fitness classes available for Mike to join. How many options does Mike have total?

You are at an ice cream store called the Scoop. There are 10 different ice cream flavors, 4 different cone flavors, and 8 different toppings. They have a daily cone made up of two scoops, one cone and one topping. What is the probability that you get an ice cream with the following ingredients: Mint Chip and Vanilla with a Waffle Cone and sprinkles? The order doesn’t matter, round to nearest thousandth.

There are twenty different Honda Civic Si’s in the parking lot. One, however, has a broken crankshaft and is missing a cylinder head. Mr. Mihovilovich is buying five of them to donate to charity. What is the probability that he gets the faulty Civic? #savethemanuals

Connor wants to mimic Mr. Mihovilovich and he bought a cheap, rubber duck mask off of Amazon. However, the manufacturer distributed a shipment of 100 masks, where 10 were faulty. What is the probability that Connor gets lucky and gets a high quality, yellow, rubber duck mask?

Tatum was bored and decided to shuffle a deck of cards and when she pulled the first five cards out, her hand was a Royal Flush (suit was hearts). What was the probability of pulling her hand?

100 people are secretly given distinct numbers between 1 and 100. You go into the room with the 100 people. What is the probability that you guess the the person with number 1, the person with number 2, and the person with number 70 right, (in any order).

You buy two chip bags, two sprites, and three sandwiches for school lunch. However, when you are ready to eat, you find that there are five chip bags, three sprites, and four sandwiches that look identical to your lunch. You can’t find which one was yours. What is the probability you guess your sandwich and sprite correctly, and all the chips wrong?

A class has 15 students. The teacher selects 3 students to answer the questions on the board. How many ways can students be chosen?

Tom buys a box of toys for his child. The box has 7 good toys and 2 broken toys. If the child selects 3 toys to play with, what is the probability that 2 of the toys are broken?

A box of ping pong balls contains 30 balls. 12 red, 4 blue, and 14 pink. 4 balls are selected at random without replacement. What is the probability that a blue, then a red, then a pink, then a blue are selected?

Mr. Miho chooses 3 numbers 1-10 and asks you to choose 4 different numbers between 1-10. What is the probability that you get at least 2 of the numbers correct?

A class of 20 people has a lottery where the winners get 100% on their next assignment. Each person has a ball with their name on it that, after each pull, will get placed back into the bowl with the rest of the balls. If you make 4 pulls, what is the probability that you get at least one 100% assignment?

A person goes to take an SAT and decides that he doesn’t want to think, so he chooses to guess every problem(completely random guesses with equal probability). If all the sections had a total of 300 problems with 4 multiple choice options for each question, what is the probability that he got 80% of the problems right? (You'll need a summation!)