Probability
Odds
Arrangement
100

You roll a 3 on a die

What is ⅙

100

The odds that you will win the ladder carnival game based on the data that out of five people in front of you, one of them won.

What is 1 to 4

More than 500,000 Americans go to the hospital for “ladder-related” injuries each year

100

The number of three digit even numbers.

What is 450?

200

The percent chance that you roll a ten-sided die two times and get either a 3 or a 7 both times.  

What is 4%

200

The odds that two of the same numbers are rolled if 2 dice are tossed.  

What is 1:5?

200

The amount of passwords you can make out of six digit combinations.

What is 1,000,000

300

The probability that you flipped a coin and it landed on heads, and then you randomly chose a Sprite from a vending machine with 20  buttons

What is 1/40

300

The odds that you roll a die two times and get an even number at least once

What is 3 to 1

300

The number of different combinations you could have if 9 keys are placed on a key ring

What is 20,160?

400

(Read the problem carefully)The probability that you search a crater that has the desired diameter and gold if you are a scientist and are investigating ancient asteroid craters around the world. Out of 20 craters, 3 of them have gold in it and an average ⅓ of the craters in the search area have the desired diameter.

What is 1/20

Fun Fact:   Although the number is constantly changing, recent studies show that there is a 2.7% chance that the 67 meter long “2024 YSR” asteroid hits Earth in 2029.

400

The odds that you pick 1 red and 1 blue if there are 2 red gumballs, 3 blue gumballs, and 7 green gumballs in a bag and you pick twice

What is 1 to 10

400

The number of ways 4 nickels and 5 dimes can be distributed among 9 children if each is to receive 1 coin.  

What is 126?

500

The probability that one of the four crackers you eat (one at a time) is contaminated considering you open a medium goldfish bag, a goldfish falls on the ground, and without thinking you put it back in the bag of a total 72 crackers.

What is 1/18

500

Out of 16 identical rings, two of them belong to a married couple. If you randomly recover 8 rings, what are the odds that you chose both of the couple’s rings?

What is 7:23

Fun fact: 10% of grooms lose their wedding ring within the first three months of getting them

500

Twelve volunteers are to be assigned at a math team competition.  The amount of ways they can be assigned if 4 graders, 5 proctors, and 3 judges are needed?  

What is 27,720?