Probability Powerplay

Level 6, 2026-06-24

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

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

What is the probability of the humans to score more than 5?

[2]

A bag has 5 balls with number 8 and 8 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 8?

[1]

There are 24 balls in a bag. This is is the probability distribution of their color:


0.25	0.75
orange	red
Color

How many orange balls were in the bag?

[1]

Flip a coin 2 times.
Each time a head comes up you win $1 and with each tail you lose $2. It costs $3 to play (paid once). How much money would you expect to make altogether?

[1]

Roll 96 6-sided dice.
How many times would you expect to get more than or equal to 2?

[1]

Roll 12 6-sided dice.
How many times would you expect to get more than 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:


0.8	0.05	0.15
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 4?

[1]

A group of kids were timed running 100m. Here are the results:

kids
Time	13	2
	14	5
	15	6
	16	5
	17	3

What fraction of the kids run 100m in more than 13s?

[2]

Roll 12 6-sided dice.
How many times would you expect to get less than or equal to 5?

[1]

A group of girls were timed running 100m. Here are the results:

girls
	6		3	5
13	14	15	16	17
Time

What fraction of the girls run 100m in exactly 16s?

[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:


0.6			0.25	0.15
1	2	3	4	5
Number

What is the probability of rolling 1 or 3?

[1]

There are 70 balls in a bag. This is is the probability distribution of their color:


0.1	0.9
red	purple
Color

How many red balls were in the bag?

[1]

Cars go by on a road, each is a different color and type.

Probability of Color
0.9	0.1
blue	purple
Color

Probability of Type
0.4	0.6
wagon	sedan
Type

What is the probability of a car being a purple sedan?

[2]

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

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

What is the probability of the dogs to score less than 4?

[2]

A bag has 7 balls with number 6 and 4 balls with a number 2. What will be the average of the numbers of the balls taken out of the bag

[1]