Probability Powerplay
Level 6, 2026-07-28
A group of dogs were timed running 100m. Here are the results:
dogs

41231
1314151617
Time

What fraction of the dogs run 100m in less than 13s?
[2]
A group of humans were timed running 100m. Here are the results:
humans

3212
1314151617
Time

What is the probability of the humans to run 100m in exactly 15s?
[2]
There are 36 balls in a bag. This is is the probability distribution of their color:


0.250.75
purplered
Color

How many purple balls were in the bag?
[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:


0.550.250.2
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 3?
[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]
A wheel has 6 purple sections and 3 red sections.
What is the probability of getting red?
[1]
Roll 78 6-sided dice.
How many times would you expect to get less than or equal to 4?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.30.10.6
orangebluepink
Color

How many orange balls were in the bag?
[1]
A bag has 6 balls with numbers from 4 to 9. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
Roll 36 6-sided dice.
How many times would you expect to get less than 5?
[1]
A bag has 7 balls with numbers from 1 to 7. You take out 1 ball.
What is the probability of getting a ball with a number less than 0?
[1]
The weather forecast says that the chances of rain are 70%. Your chance of being outside today is 80%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
A bag has 5 red balls and 4 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:


0.60.150.20.05
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
A wheel has 5 green sections and 5 orange sections.
What is the probability of getting orange?
[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:


0.10.150.150.10.5
12345
Number

What is the probability of rolling a number that is smaller than 4?
[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:


0.20.8
12345
Number

What is the probability of rolling 2 or 5?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
greenbluered
Color

If you choose a random ball from the bag, what is the probability of it being red or blue?
[1]