Probability Powerplay

Level 6, 2026-11-12

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

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

What is the probability of the girls to score exactly 2?

[2]

A wheel has 9 sections, each has a reward in dollars, from $1 through to $9.
What prize do we expect to get if we spin the wheel?

[1]

You shoot an arrow at a target. You will either score 10 (50% chance), 40 (10% chance), or 50. What average score do you expect to get if you do this many times?

[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:


		0.2	0.25	0.55
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 4?

[1]

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

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

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

[2]

There are 22 balls in a bag. This is is the probability distribution of their color:


0.5	0.5
blue	pink
Color

How many pink balls were in the bag?

[1]

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

dogs
2	1	3	6
13	14	15	16	17
Time

What fraction of the dogs run 100m in exactly 14s?

[2]

Roll 36 6-sided dice.
How many times would you expect to get an odd number?

[1]

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

kids
Time	13	5
	14	3
	15	6
	16	4
	17

What fraction of the kids run 100m in exactly 17s?

[2]

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

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

What is the probability of the boys to score less than 0?

[2]

There are 20 balls in a bag. This is is the probability distribution of their color:


0.8	0.2
yellow	purple	red
Color

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

[1]

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

dogs
3	6
13	14	15	16	17
Time

What is the probability of the dogs to run 100m in less than 14s?

[2]

Roll 36 6-sided dice.
How many times would you expect to get more than 4?

[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:


0.5	0.15	0.1		0.25
1	2	3	4	5
Number

What is the probability of rolling 1 or 4?

[1]