Probability Powerplay

Level 6, 2026-11-01

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

Probability of Color
	1
green	purple
Color

Probability of Type
1
wagon	sedan
Type

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

[2]

There are 90 balls in a bag. This is is the probability distribution of their color:


0.6	0.3	0.1
pink	yellow	orange
Color

If you choose a random ball from the bag, what is the probability of it being orange or yellow?

[1]

There are 80 balls in a bag. This is is the probability distribution of their color:


0.2	0.3	0.5
orange	blue	pink
Color

How many pink balls were in the bag?

[1]

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

people
Time	13	6
	14	2
	15	5
	16	1
	17	4

What fraction of the people run 100m in less than 16s?

[2]

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

Time	girls
13	0
14	2
15	5
16	4
17	5

What fraction of the girls run 100m in less than 15s?

[2]

We asked a group of kids how many Sandwiches they eat in a month. Here are the results:

kids
2	2	6	1
0	1	2	3
Sandwiches

What fraction of the kids eat less than 0 Sandwiches in a month?

[2]

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

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

What fraction of the kids score more than 4?

[2]

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

[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	0.1	0.2	0.5
1	2	3	4	5
Number

What is the probability of rolling a 4?

[1]

There are 30 balls in a bag. This is is the probability distribution of their color:


	0.4	0.6
purple	green	yellow
Color

How many purple balls were in the bag?

[1]

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


0.8	0.2
red	purple
Color

How many purple balls were in the bag?

[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		0.15
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 2?

[1]

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

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

What is the probability of the people to score less than 3?

[2]

You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 40% chance of scoring a 30 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?

[1]