Probability Powerplay
Level 6, 2026-08-21
A group of humans did a math test and here are their scores out of 5:
Scorehumans
02
15
23
35
45
54

What fraction of the humans score more than 3?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 2?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.30.7
orangepurplepink
Color

How many purple balls were in the bag?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 3 or a 3 and a head or a tail?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
yelloworangeblue
Color

If you choose a random ball from the bag, what is the probability of it being blue?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number less than 1 and a tail?
[1]
A bag has 4 balls with number 9 and 2 balls with a number 1. You take out 1 ball.
What is the probability of getting the ball with the number 1?
[1]
Roll 108 6-sided dice.
How many times would you expect to get an ugly number?
[1]
Roll 60 6-sided dice.
How many times would you expect to get a number more than 1?
[1]
Flip a coin 8 times.
Each time a Tail comes up you win $1. How much money would you expect to make altogether?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score0
13
22
36
45
54

What is the probability of the people to score more than 5?
[2]
A group of people were timed running 100m. Here are the results:
people

Time133
141
151
164
17

What fraction of the people run 100m in exactly 14s?
[2]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.10.20.7
orangegreenyellow
Color

How many yellow balls were in the bag?
[1]
A wheel has 2 orange sections and 3 red sections.
What is the probability of getting red?
[1]
Roll 2 6-sided dice.
What is the probability of getting a 2 on both dice?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

6235
012345
Score

What fraction of the dogs score more than 4?
[2]