Probability Powerplay
Level 6, 2026-09-08
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:


0.90.050.05
12345
Number

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


0.70.150.10.05
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 3?
[1]
A bag has 2 balls with numbers from 1 to 2. You take out 1 ball.
What is the probability of getting a ball with an even number?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 3 and a tail?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
orangeyellowpurple
Color

How many purple balls were in the bag?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

124366
012345
Score

What fraction of the humans score exactly 0?
[2]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 40%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score06
13
23
36
46
51

What fraction of the boys score more than 0?
[2]
We asked a group of girls how many Bananas they eat in a week. Here are the results:
girls

Bananas02
1
25
36

What fraction of the girls eat exactly 1 Bananas in a week?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
136
144
152
162
170

What is the probability of the boys to run 100m in less than 16s?
[2]
Flip a coin 6 times.
Each time a head comes up you win $3 and with each tail you lose $2. It costs $4 to play (paid once). How much money would you expect to make altogether?
[1]
There are 8 balls in a bag. This is is the probability distribution of their color:


0.50.5
greenorange
Color

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

Time13
143
152
16
176

What is the probability of the people to run 100m in exactly 14s?
[2]
You flip a coin and roll a 5 sided die.
What is the probability of getting a 3 and a tail?
[1]