Probability Powerplay

Level 6, 2026-07-21

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

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

What fraction of the boys score more than 1?

[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:


0.25	0.1	0.2	0.05	0.4
1	2	3	4	5
Number

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

[1]

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

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

What fraction of the humans score exactly 0?

[2]

Roll 102 6-sided dice.
How many times would you expect to get anything except 3?

[1]

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

humans
Burgers	0
	1
	2	3
	3	1

What fraction of the humans eat more than 0 Burgers in a day?

[2]

The weather forecast says that the chances of rain are 40%. Your chance of being outside today is 60%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?

[1]

There are 40 balls in a bag. This is is the probability distribution of their color:


0.1	0.9
pink	green
Color

How many green balls were in the bag?

[1]

Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 2?

[1]

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

Time	boys
13	4
14	3
15	0
16	0
17	0

What is the probability of the boys to run 100m in less than 17s?

[2]

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

Probability of Color
0.7	0.3
blue	purple
Color

Probability of Type
0.7	0.3
sedan	wagon
Type

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

[2]

Flip a coin 6 times.
Each time a Head comes up you win $3. How much money would you expect to make altogether?

[1]

A wheel has 10 sections, each a number on it from 1 to 10. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?

[1]

We asked a group of girls how many Bowls of Ramen they eat in a month. Here are the results:

girls
Bowls of Ramen	0
	1	4
	2	3
	3	2

What fraction of the girls eat less than 0 Bowls of Ramen in a month?

[2]

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

[1]