Probability Powerplay
Level 6, 2026-08-05
There are 40 balls in a bag. This is is the probability distribution of their color:


0.50.5
blueorangepurple
Color

How many orange balls were in the bag?
[1]
We asked a group of humans how many Hot dogs they eat in a day. Here are the results:
humans

Hot dogs0
12
21
3

What is the probability of the humans to eat exactly 0 Hot dogs in a day?
[2]
A group of girls were timed running 100m. Here are the results:
girls

Time134
146
156
165
176

What fraction of the girls run 100m in exactly 15s?
[2]
There are 22 balls in a bag. This is is the probability distribution of their color:


0.50.5
greenred
Color

How many green balls were in the bag?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A bag has 9 balls with numbers from 2 to 10. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 4?
[1]
Roll 12 6-sided dice.
How many times would you expect to get more than or equal to 6?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score03
14
22
36
43
54

What is the probability of the humans to score more than 0?
[2]
A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


0.250.10.250.4
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


0.050.050.150.75
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
We asked a group of people how many Chocolates they eat in a week. Here are the results:
people

5621
0123
Chocolates

What is the probability of the people to eat more than 2 Chocolates in a week?
[2]
You flip a coin and roll a 4 sided die.
What is the probability of getting a 1 and a tail?
[1]
A bag has 9 balls with number 9 and 4 balls with a number 8. What will be the average of the numbers of the balls taken out of the bag
[1]
We asked a group of dogs how many Bowls of Ramen they eat in a day. Here are the results:
Bowls of Ramendogs
01
10
22
34

What fraction of the dogs eat less than 2 Bowls of Ramen in a day?
[2]
Roll 12 6-sided dice.
How many times would you expect to get anything except 2?
[1]