Probability Powerplay
Level 6, 2026-11-12
There are 16 balls in a bag. This is is the probability distribution of their color:


0.50.5
purplepink
Color

How many pink balls were in the bag?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 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:


0.050.050.150.050.7
12345
Number

What is the probability of rolling a number from 4 to 5?
[1]
Flip a coin 6 times.
Each time a Tail comes up you win $3. How much money would you expect to make altogether?
[1]
A bag has 3 balls with number 3 and 8 balls with a number 1. What will be the average of the numbers of the balls taken out of the bag
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score04
11
22
31
45
53

What is the probability of the humans to score exactly 5?
[2]
We asked a group of humans how many Hot dogs they eat in a day. Here are the results:
humans

Hot dogs05
14
26
33

What is the probability of the humans to eat less than 3 Hot dogs in a day?
[2]
The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 60%.
What is the probability of getting wet today?
[1]
Roll 54 6-sided dice.
How many times would you expect to get an even number?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.10.20.7
redorangeyellow
Color

How many red balls were in the bag?
[1]
There are 16 balls in a bag. This is is the probability distribution of their color:


0.750.25
yellowred
Color

How many yellow balls were in the bag?
[1]
We asked a group of girls how many Pillows they eat in a month. Here are the results:
girls

21
0123
Pillows

What fraction of the girls eat less than 4 Pillows in a month?
[2]
A group of kids did a math test and here are their scores out of 5:
kids

316352
012345
Score

What fraction of the kids score more than 2?
[2]
A bag has 5 red balls and 10 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A bag has 4 balls with number 6 and 5 balls with a number 7. You take out 1 ball.
What is the probability of getting the ball with the number 7?
[1]