Probability Powerplay
Level 6, 2026-10-31
We asked a group of humans how many Pizzas they eat in a month. Here are the results:
humans

633
0123
Pizzas

What fraction of the humans eat exactly 3 Pizzas in a month?
[2]
You shoot an arrow at a target. There is a 50% chance of scoring a 30, a 40% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
Roll 144 6-sided dice.
How many times would you expect to get a number less than 2?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
135
143
154
160
170

What is the probability of the people to run 100m in more than 15s?
[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:


0.650.050.050.25
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[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:


0.050.250.10.6
12345
Number

What is the probability of rolling a 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:


0.10.10.250.55
12345
Number

What is the probability of rolling 3 or 4?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score02
12
24
35
44
54

What fraction of the humans score more than 0?
[2]
The weather forecast says that the chances of rain are 80%. Your chance of being outside today is 90%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
A wheel has 5 red sections and 8 blue sections.
What is the probability of getting red?
[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:


0.650.250.050.05
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 1?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.50.5
bluepinkyellow
Color

If you choose a random ball from the bag, what is the probability of it being pink?
[1]
A group of kids did a math test and here are their scores out of 5:
Scorekids
04
13
21
36
41
51

What fraction of the kids score less than 5?
[2]
A bag has 6 balls with numbers from 3 to 8. You take out 1 ball.
What is the probability of NOT getting the ball with the number 5?
[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:


0.20.10.150.250.3
12345
Number

What is the probability of rolling a number that is bigger than 2 and 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:


0.150.050.150.65
12345
Number

What is the probability of rolling a number from 3 to 5?
[1]