Probability Powerplay
Level 6, 2026-08-03
There are 40 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
yellowpurpleorange
Color

How many yellow balls were in the bag?
[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:


0.250.10.150.10.4
12345
Number

What is the probability of rolling a 1?
[1]
A bag has 6 balls with number 6 and 6 balls with a number 5. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[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:


0.50.250.10.15
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
redpurple
Color

Probability of Type

0.70.3
sedanwagon
Type

What is the probability of a car being a purple sedan?
[2]
The weather forecast says that the chances of rain are 70%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 90%.
What is the probability of getting wet today?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.750.25
greenyellow
Color

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


0.70.20.1
redyellowgreen
Color

If you choose a random ball from the bag, what is the probability of it being red?
[1]
A group of people did a math test and here are their scores out of 5:
people

622214
012345
Score

What is the probability of the people to score more than 3?
[2]
A bag has 4 balls with number 9 and 7 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 9?
[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:


0.80.10.1
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score0
15
21
32
4
56

What is the probability of the humans to score more than 0?
[2]
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:


0.70.10.10.1
12345
Number

What is the probability of rolling 3 or 4?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 10% chance of scoring a 30 and a 50% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
Roll 30 6-sided dice.
How many times would you expect to get more than or equal to 6?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

34352
012345
Score

What fraction of the kids score less than 0?
[2]