Probability Powerplay
Level 6, 2026-08-15
The weather forecast says that the chances of rain are 40%. Your chance of being outside today is 60%. 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:


0.60.250.15
12345
Number

What is the probability of rolling a 3?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.20.8
pinkblue
Color

How many blue 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:


0.60.20.2
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 5?
[1]
Roll 114 6-sided dice.
How many times would you expect to get less than or equal to 1?
[1]
A group of people did a math test and here are their scores out of 5:
people

34341
012345
Score

What fraction of the people score less than 2?
[2]
Roll 12 6-sided dice.
How many times would you expect to get anything except 5?
[1]
A bag has 3 red balls and 3 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score01
15
26
35
41
52

What fraction of the dogs score exactly 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:


0.20.050.250.5
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
Roll 72 6-sided dice.
How many times would you expect to get a number less than 5?
[1]
Flip a coin 16 times.
Each time a head comes up you win $3 and with each tail you lose $1. How much money would you expect to make altogether?
[1]
Roll 54 6-sided dice.
How many times would you expect to get an even number?
[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:


0.40.20.250.15
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
130
140
155
164
171

What is the probability of the boys to run 100m in exactly 17s?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 1 or a 1 and a tail?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 90% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]