Probability Powerplay
Level 6, 2026-07-08
There are 12 balls in a bag. This is is the probability distribution of their color:


0.50.5
blueorange
Color

How many blue balls were in the bag?
[1]
A bag has 5 balls with number 9 and 3 balls with a number 4. You take out 1 ball.
What is the probability of getting the ball with the number 4?
[1]
A bag has 3 balls with number 9 and 4 balls with a number 6. What will be the average of the numbers of the balls taken out of the bag
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
02
16
23
32
44
53

What fraction of the humans score more than 5?
[2]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 3?
[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:


0.50.250.050.2
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
redpinkpurple
Color

How many purple balls were in the bag?
[1]
Roll 126 6-sided dice.
How many times would you expect to get a number more than 3?
[1]
We asked a group of boys how many Burgers they eat in a month. Here are the results:
Burgersboys
06
13
22
30

What is the probability of the boys to eat more than 0 Burgers in a month?
[2]
A bag has 4 balls with numbers from 4 to 7. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 6?
[1]
The weather forecast says that the chances of rain are 80%. Your chance of being outside today is 40%. The chance of remembering your umbrella is 60%.
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 80%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
Roll 150 6-sided dice.
How many times would you expect to get an odd number?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 50% 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]
Flip 2 coins.
What is the probability of getting a head and a tail?
[1]
A bag has 2 balls with number 1 and 5 balls with a number 9. What will be the average of the numbers of the balls taken out of the bag
[1]
We asked a group of humans how many Sandwiches they eat in a week. Here are the results:
humans

645
0123
Sandwiches

What is the probability of the humans to eat exactly 2 Sandwiches in a week?
[2]