Probability Powerplay
Level 6, 2026-09-30
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:


0.150.050.20.6
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.10.9
redpink
Color

How many pink balls were in the bag?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
bluepurplered
Color

If you choose a random ball from the bag, what is the probability of it not being red?
[1]
The weather forecast says that the chances of rain are 70%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 40%.
What is the probability of getting wet today?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
greenredorange
Color

How many red balls were in the bag?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.20.20.6
greenpurplered
Color

How many purple balls were in the bag?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number less than 3 and a tail?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.9
redpurpleorange
Color

If you choose a random ball from the bag, what is the probability of it not being purple?
[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:


0.20.150.20.45
12345
Number

What is the probability of rolling a 1?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 80% 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 wheel has 6 orange sections and 4 pink sections.
What is the probability of getting orange?
[1]
Flip 1 coin.
What is the probability of getting a tail?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are less than 5?
[1]
You shoot an arrow at a target. There is a 10% chance of scoring a 20 and a 20% chance of scoring a 40 and a 70% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A wheel has 8 orange sections and 3 blue sections.
What is the probability of getting orange?
[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:


0.450.20.20.15
12345
Number

What is the probability of rolling a number that is smaller than 2?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 40%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
A bag has 6 red balls, 8 blue balls and 8 yellow balls. You take out a yellow ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
We asked a group of people how many Icecreams they eat in a month. Here are the results:
people

Icecreams06
14
2
35

What fraction of the people eat less than 1 Icecreams in a month?
[2]