Probability Powerplay
Level 6, 2025-12-10
A group of girls did a math test and here are their scores out of 5:
girls

Score04
1
24
3
46
53

What fraction of the girls score exactly 2?
[2]
Roll 54 6-sided dice.
How many times would you expect to get anything except 5?
[1]
A bag has 8 balls with numbers from 3 to 10. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 9?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

4111
012345
Score

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

14454
1314151617
Time

What is the probability of the humans to run 100m in less than 13s?
[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:


0.650.250.1
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 5?
[1]
Roll 24 6-sided dice.
How many times would you expect to get more 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:


0.40.10.20.10.2
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
yellowredgreen
Color

How many green balls were in the bag?
[1]
Roll 48 6-sided dice.
How many times would you expect to get less than or equal to 6?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score0
12
21
34
4
52

What fraction of the boys score more than 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:


0.70.250.05
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 3?
[1]
Roll 48 6-sided dice.
How many times would you expect to get an ugly number?
[1]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.750.25
orangepurple
Color

How many purple balls were in the bag?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
purpleyellowgreen
Color

How many yellow balls were in the bag?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 6?
[1]