Probability Powerplay
Level 6, 2026-09-05
Flip a coin 2 times.
Each time a Tail comes up you win $3. It costs $3 to play (paid once). How much money would you expect to make altogether?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
redorangepink
Color

How many pink balls were in the bag?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 4 or a 2 and a head or a tail?
[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:


0.30.20.150.150.2
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
orangepurplegreen
Color

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

Time132
145
15
162
171

What is the probability of the dogs to run 100m in exactly 17s?
[2]
The chances of feeling like icecream are 80%. The chances of being near an icecream store are 80%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[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:


0.20.20.6
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
Flip 3 coins.
What is the probability of getting 3 tails?
[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:


0.750.10.15
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
A bag has 5 red balls and 8 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[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:


0.050.150.8
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 5?
[1]
You flip a coin and roll a 5 sided die.
What is the probability of getting a 1 and a tail?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than or equal to 4?
[1]
A bag has 2 red balls, 2 blue balls and 5 yellow balls. You take out a yellow ball, then a blue ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
131
143
150
164
173

What fraction of the people run 100m in more than 15s?
[2]
Flip a coin 16 times.
Each time a head comes up you win $3 and with each tail you lose $3. How much money would you expect to make altogether?
[1]
Roll 108 6-sided dice.
How many times would you expect to get anything except 1?
[1]