Probability Powerplay
Level 6, 2026-06-12
Roll 96 6-sided dice.
How many times would you expect to get anything except 2?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
blueyellowgreen
Color

How many green balls were in the bag?
[1]
Roll 2 6-sided dice.
What is the probability of getting a 6 on both dice?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

46414
012345
Score

What fraction of the girls score exactly 1?
[2]
The weather forecast says that the chances of rain are 50%. 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]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 50%. There is a 20% 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:


0.20.250.150.4
12345
Number

What is the probability of rolling a 4?
[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:


0.450.10.20.10.15
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 4?
[1]
Roll 1 6-sided die.
What is the probability of getting an odd number?
[1]
We asked a group of dogs how many Bowls of Ramen they eat in a day. Here are the results:
dogs

Bowls of Ramen0
15
23
35

What is the probability of the dogs to eat less than 1 Bowls of Ramen in a day?
[2]
Roll 60 6-sided dice.
How many times would you expect to get anything except 3?
[1]
Flip a coin 2 times.
Each time a head comes up you win $1 and with each tail you lose $3. It costs $3 to play (paid once). How much money would you expect to make altogether?
[1]
We asked a group of humans how many Oranges they eat in a week. Here are the results:
humans

511
0123
Oranges

What fraction of the humans eat more than 2 Oranges in a week?
[2]
We asked a group of humans how many Popsicles they eat in a day. Here are the results:
humans

Popsicles03
15
21
32

What is the probability of the humans to eat exactly 3 Popsicles in a day?
[2]
Roll 96 6-sided dice.
How many times would you expect to get less than or equal to 6?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.50.5
redbluepink
Color

How many pink balls were in the bag?
[1]