Probability Powerplay
Level 6, 2026-06-18
Roll 150 6-sided dice.
How many times would you expect to get anything except 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:


0.250.75
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 3?
[1]
A bag has 3 balls with numbers from 5 to 7. You take out 1 ball.
What is the probability of getting a ball with a number more than 4?
[1]
A bag has 7 balls with number 7 and 4 balls with a number 5. You take out 1 ball.
What is the probability of getting the ball with the number 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:


0.250.10.65
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
The weather forecast says that the chances of rain are 70%. Your chance of being outside today is 90%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[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:


0.150.20.65
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
A bag has 3 red balls and 2 blue balls. You take out 1 ball.
What is the probability of getting a red ball?
[1]
Roll 1 6-sided die.
What is the probability of getting an even number?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.90.1
pinkyellow
Color

How many pink balls were in the bag?
[1]
Roll 90 6-sided dice.
How many times would you expect to get a number more than 5?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% 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]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 2 or a 3 and a head?
[1]
Roll 2 6-sided dice.
What is the probability of getting a 4 on both dice?
[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:


0.10.10.250.20.35
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
Flip a coin 14 times.
Each time a head comes up you win $1 and with each tail you lose $4. It costs $21 to play (paid once). How much money would you expect to make altogether?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score06
12
26
36
43
55

What is the probability of the people to score less than 0?
[2]
Roll 66 6-sided dice.
How many times would you expect to get an odd number?
[1]
The weather forecast says that the chances of rain are 30%. Your chance of being outside today is 90%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]