Probability Powerplay
Level 6, 2026-10-12
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:


0.90.050.05
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 10 and a 10% chance of scoring a 40 and a 60% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A bag has 6 red balls and 3 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
04
11
23
31
45
50

What is the probability of the boys to score less than 0?
[2]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
06
11
24
30
41
54

What fraction of the girls score less than 0?
[2]
A group of humans did a math test and here are their scores out of 5:
humans

43665
012345
Score

What is the probability of the humans to score more than 2?
[2]
A bag has 5 red balls, 6 blue balls and 8 yellow balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Roll 90 6-sided dice.
How many times would you expect to get more than or equal to 3?
[1]
A group of kids did a math test and here are their scores out of 5:
Scorekids
04
15
25
33
43
53

What fraction of the kids score less than 4?
[2]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.10.9
orangeyellow
Color

How many yellow balls were in the bag?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

215355
012345
Score

What fraction of the humans score exactly 1?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.20.50.3
orangeyellowred
Color

If you choose a random ball from the bag, what is the probability of it not being red?
[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:


0.20.050.050.150.55
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]
The weather forecast says that the chances of rain are 30%. Your chance of being outside today is 50%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[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:


0.050.150.050.75
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 3?
[1]