Probability Powerplay

Level 6, 2026-11-12

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

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

What fraction of the people score less than 0?

[2]

The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 60%.
What is the probability of getting wet today?

[1]

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

Time	humans
13	0
14	3
15	4
16	3
17	5

What is the probability of the humans to run 100m in exactly 15s?

[2]

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

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

What is the probability of the people to run 100m in more than 17s?

[2]

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


0.1	0.9
pink	red
Color

How many red balls were in the bag?

[1]

A bag has 4 balls with number 7 and 9 balls with a number 1. What will be the average of the numbers of the balls taken out of the bag

[1]

Roll 2 6-sided dice.
What is the probability of getting a 4 on both dice?

[1]

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

[1]

A wheel has 8 green sections and 2 yellow sections.
What is the probability of getting yellow?

[1]

A bag has 10 red balls, 5 blue balls and 6 yellow balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting yellow for the last ball?

[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:


0.55	0.2			0.25
1	2	3	4	5
Number

What is the probability of rolling 4 or 5?

[1]

Flip a coin 6 times.
Each time a Head comes up you win $1. How much money would you expect to make altogether?

[1]

Roll 132 6-sided dice.
How many times would you expect to get less than 6?

[1]

There are 8 balls in a bag. This is is the probability distribution of their color:


0.25	0.75
green	purple
Color

How many green balls were in the bag?

[1]

We asked a group of girls how many Strawberries they eat in a week. Here are the results:

girls
Strawberries	0	4
	1	1
	2	1
	3	5

What fraction of the girls eat exactly 4 Strawberries in a week?

[2]

You shoot an arrow at a target. You will either score 20 (50% chance), 40 (20% chance), or 50. What average score do you expect to get if you do this many times?

[1]