Probability Powerplay
Level 6, 2026-04-07
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:


0.10.20.7
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are 1 or 4?
[1]
A wheel has 8 green sections and 2 blue sections.
What is the probability of getting blue?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.50.10.4
redgreenyellow
Color

If you choose a random ball from the bag, what is the probability of it not being yellow or red?
[1]
Roll 18 6-sided dice.
How many times would you expect to get anything except 5?
[1]
Flip a coin 6 times.
Each time a head comes up you win $1 and with each tail you lose $3. It costs $9 to play (paid once). How much money would you expect to make altogether?
[1]
The chances of feeling like icecream are 80%. The chances of being near an icecream store are 60%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
The weather forecast says that the chances of rain are 90%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 60%.
What is the probability of getting wet today?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
04
12
21
30
41
53

What fraction of the dogs score exactly 3?
[2]
Roll 72 6-sided dice.
How many times would you expect to get more than 3?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
purpleredyellow
Color

If you choose a random ball from the bag, what is the probability of it not being yellow?
[1]
We asked a group of humans how many Pizzas they eat in a week. Here are the results:
humans

Pizzas0
14
21
32

What is the probability of the humans to eat exactly 4 Pizzas in a week?
[2]
You shoot an arrow at a target. There is a 80% chance of scoring a 10 and a 20% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.9
purpleorange
Color

How many purple balls were in the bag?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
00
13
21
32
46
53

What is the probability of the dogs to score more than 2?
[2]
A bag has 9 red balls, 8 blue balls and 3 yellow balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Roll 72 6-sided dice.
How many times would you expect to get more than 1?
[1]