Probability Powerplay

Level 6, 2026-02-16

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:


0.4	0.25	0.2	0.05	0.1
1	2	3	4	5
Number

What is the probability of rolling a number that is smaller than or equal to 1?

[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:


0.85			0.05	0.1
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 2?

[1]

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

Score	boys
0	3
1	4
2	1
3	2
4	1
5	2

What fraction of the boys score less than 3?

[2]

We asked a group of people how many Hot dogs they eat in a week. Here are the results:

people
Hot dogs	0	5
	1	6
	2	5
	3	6

What fraction of the people eat more than 0 Hot dogs in a week?

[2]

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

dogs
4	2	3	1	5	4
0	1	2	3	4	5
Score

What fraction of the dogs score less than 2?

[2]

We asked a group of people how many Bananas they eat in a day. Here are the results:

people
2	4	2
0	1	2	3
Bananas

What is the probability of the people to eat less than 4 Bananas in a day?

[2]

Flip a coin 16 times.
Each time a head comes up you win $4 and with each tail you lose $3. It costs $31 to play (paid once). How much money would you expect to make altogether?

[1]

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

dogs
6	6	6		6	5
0	1	2	3	4	5
Score

What fraction of the dogs score more than 3?

[2]

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

Score	girls
0	5
1	1
2	0
3	4
4	6
5	5

What fraction of the girls score more than 3?

[2]

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

Score	people
0	1
1	2
2	0
3	3
4	6
5	5

What is the probability of the people to score more than 1?

[2]

Roll 132 6-sided dice.
How many times would you expect to get anything except 4?

[1]

There are 100 balls in a bag. This is is the probability distribution of their color:


	0.5	0.5
orange	green	yellow
Color

If you choose a random ball from the bag, what is the probability of it not being orange or yellow?

[1]

You shoot an arrow at a target. There is a 60% chance of scoring a 30 and a 40% chance of scoring a 40. What average score do you expect to get if you do this many times?

[1]