Probability Powerplay
Level 6, 2026-06-27
A group of people did a math test and here are their scores out of 5:
people

225531
012345
Score

What is the probability of the people to score less than 2?
[2]
The weather forecast says that the chances of rain are 40%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 80%.
What is the probability of getting wet today?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
134
146
154
166
176

What is the probability of the kids to run 100m in more than 13s?
[2]
Flip a coin 6 times.
Each time a head comes up you win $3 and with each tail you lose $4. How much money would you expect to make altogether?
[1]
A bag has 7 balls with numbers from 3 to 9. You take out 1 ball.
What is the probability of NOT getting the ball with the number 8?
[1]
Roll 132 6-sided dice.
How many times would you expect to get less than 4?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 30% chance of scoring a 30 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
There are 36 balls in a bag. This is is the probability distribution of their color:


0.250.75
redpink
Color

How many pink 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:


0.150.050.8
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 2?
[1]
We asked a group of boys how many Icecreams they eat in a day. Here are the results:
boys

Icecreams05
16
25
3

What fraction of the boys eat less than 0 Icecreams in a day?
[2]
You shoot an arrow at a target. There is a 20% chance of scoring a 20 and a 40% chance of scoring a 30 and a 40% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
You shoot an arrow at a target. There is a 80% chance of scoring a 30 and a 20% chance of scoring a 40. What average score do you expect to get if you do this many times?
[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:


0.750.050.2
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:


0.450.050.20.050.25
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.20.8
bluepinkgreen
Color

How many green balls were in the bag?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 20% chance of scoring a 40 and a 40% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]