Probability Powerplay

Level 6, 2026-08-21

A group of humans did a math test and here are their scores out of 5:

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:

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:

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:

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:

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:

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:

What fraction of the dogs score more than 4?

[2]