Probability Powerplay
Level 6, 2026-08-18
Roll 126 6-sided dice.
How many times would you expect to get a number more than 4?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


1
purplebluegreen
Color

How many blue balls were in the bag?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.20.50.3
purpleorangered
Color

How many orange balls were in the bag?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 20% chance of scoring a 40 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.90.1
purpleblue
Color

How many blue balls were in the bag?
[1]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 90%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 12?
[1]
Roll 150 6-sided dice.
How many times would you expect to get more than or equal to 2?
[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:


0.550.20.050.150.05
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
Flip 1 coin.
What is the probability of getting a head?
[1]
We asked a group of people how many Oranges they eat in a month. Here are the results:
people

51
0123
Oranges

What is the probability of the people to eat exactly 0 Oranges in a month?
[2]
Roll 2 6-sided dice.
What is the probability of getting a 3 on both dice?
[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:


0.450.050.250.25
12345
Number

What is the probability of rolling a number from 1 to 3?
[1]
Roll 84 6-sided dice.
How many times would you expect to get more than or equal to 1?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
yellowredpurple
Color

How many red balls were in the bag?
[1]
A bag has 9 red balls and 3 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting red for the second ball?
[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:


0.20.20.250.20.15
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
The weather forecast says that the chances of rain are 50%. Your chance of being outside today is 90%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]