Probability Powerplay
Level 6, 2026-05-12
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:


0.250.20.20.10.25
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.30.20.5
greenredorange
Color

If you choose a random ball from the bag, what is the probability of it being orange?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.10.9
yelloworangepink
Color

How many orange balls were in the bag?
[1]
The weather forecast says that the chances of rain are 60%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 40%.
What is the probability of getting wet today?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[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:


0.150.10.20.050.5
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 12?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score01
16
21
33
41
55

What fraction of the girls score exactly 3?
[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:


0.20.050.050.7
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 5?
[1]
A group of people were timed running 100m. Here are the results:
people

61465
1314151617
Time

What fraction of the people run 100m in less than 15s?
[2]
A group of humans were timed running 100m. Here are the results:
humans

6535
1314151617
Time

What is the probability of the humans to run 100m in more than 17s?
[2]
A bag has 6 red balls and 9 blue balls. You take out 1 blue ball, then another ball.
What is the probability of getting red for the second ball?
[1]
A group of boys were timed running 100m. Here are the results:
boys

23244
1314151617
Time

What is the probability of the boys to run 100m in exactly 17s?
[2]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are even?
[1]
There are 44 balls in a bag. This is is the probability distribution of their color:


0.250.75
yellowred
Color

How many red balls were in the bag?
[1]
Roll 138 6-sided dice.
How many times would you expect to get less than 6?
[1]