Probability Powerplay
Level 6, 2026-08-08
You shoot an arrow at a target. There is a 10% chance of scoring a 10 and a 30% chance of scoring a 40 and a 60% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
bluepinkred
Color

How many red balls were in the bag?
[1]
A group of humans were timed running 100m. Here are the results:
Timehumans
134
143
152
165
176

What fraction of the humans run 100m in less than 17s?
[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:


0.150.150.050.65
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 1?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 3 or a 5 and a tail?
[1]
The weather forecast says that the chances of rain are 80%. Your chance of being outside today is 60%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.10.40.5
purpleorangeyellow
Color

If you choose a random ball from the bag, what is the probability of it not being orange or purple?
[1]
A group of people were timed running 100m. Here are the results:
people

Time136
141
151
164
176

What is the probability of the people to run 100m in more than 16s?
[2]
Roll 114 6-sided dice.
How many times would you expect to get more than 2?
[1]
We asked a group of humans how many Chocolates they eat in a day. Here are the results:
humans

651
0123
Chocolates

What is the probability of the humans to eat exactly 3 Chocolates in a day?
[2]
A bag has 4 balls with number 1 and 2 balls with a number 4. You take out 1 ball.
What is the probability of getting the ball with the number 1?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.30.7
redyellowgreen
Color

If you choose a random ball from the bag, what is the probability of it being green?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score04
11
22
33
45
5

What fraction of the humans score less than 1?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkyellowgreen
Color

If you choose a random ball from the bag, what is the probability of it being yellow?
[1]
A wheel has 6 green sections and 3 blue sections.
What is the probability of getting green?
[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:


0.20.050.250.20.3
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]