Probability Powerplay
Level 6, 2026-08-31
A group of people did a math test and here are their scores out of 5:
people

Score05
15
25
31
44
5

What fraction of the people score exactly 5?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
yellowpinkgreen
Color

How many pink balls were in the bag?
[1]
There are 5 balls in a bag. This is is the probability distribution of their color:


0.20.8
purplegreen
Color

How many green balls were in the bag?
[1]
A bag has 2 red balls and 4 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
A bag has 12 balls with numbers from 1 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 3?
[1]
A bag has 6 balls with number 1 and 5 balls with a number 8. You take out 1 ball.
What is the probability of getting the ball with the number 8?
[1]
A wheel has 9 sections, each has a reward in dollars, from $1 through to $9.
What prize do we expect to get if we spin the wheel?
[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:


0.550.050.20.2
12345
Number

What is the probability of rolling a number that is bigger than 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:


0.10.150.20.10.45
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 3?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score05
16
2
3
42
51

What fraction of the humans score exactly 3?
[2]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.50.30.2
yellowpinkpurple
Color

If you choose a random ball from the bag, what is the probability of it not being pink?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score04
16
2
33
44
55

What fraction of the dogs score more than 5?
[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:


0.50.20.250.05
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
Roll 30 6-sided dice.
How many times would you expect to get an odd number?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.50.20.3
orangeyellowgreen
Color

How many green balls were in the bag?
[1]
A group of boys were timed running 100m. Here are the results:
boys

26153
1314151617
Time

What fraction of the boys run 100m in exactly 13s?
[2]