Probability Powerplay
Level 6, 2025-12-21
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 3 or 4?
[1]
We asked a group of humans how many Bananas they eat in a month. Here are the results:
Bananashumans
04
16
23
35

What fraction of the humans eat exactly 3 Bananas in a month?
[2]
Flip a coin 12 times.
Each time a Head comes up you win $1. How much money would you expect to make altogether?
[1]
Flip a coin 12 times.
Each time a Head comes up you win $3. It costs $22 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 2 balls with number 6 and 6 balls with a number 7. You take out 1 ball.
What is the probability of getting the ball with the number 7?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 50% 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]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 3?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
131
145
152
164
172

What fraction of the boys run 100m in less than 17s?
[2]
A group of humans did a math test and here are their scores out of 5:
humans

16451
012345
Score

What is the probability of the humans to score less than 5?
[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:


0.50.250.050.150.05
12345
Number

What is the probability of rolling 2 or 5?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A group of people did a math test and here are their scores out of 5:
people

332116
012345
Score

What is the probability of the people to score exactly 3?
[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:


0.10.20.250.45
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 3?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 100% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score0
14
25
3
41
52

What is the probability of the dogs to score exactly 1?
[2]