Probability Powerplay

Level 6, 2026-11-09

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	0.05			0.7
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 5?

[1]

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

Time	girls
13	1
14	2
15	5
16	3
17	6

What is the probability of the girls to run 100m in less than 16s?

[2]

You shoot an arrow at a target. There is a 50% chance of scoring a 10, a 40% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?

[1]

Flip 7 coins.
What is the probability of getting 7 heads?

[1]

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]

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

Chocolates	humans
0	5
1	3
2	2
3	1

What is the probability of the humans to eat exactly 1 Chocolates in a week?

[2]

Roll 138 6-sided dice.
How many times would you expect to get more than or equal to 1?

[1]

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

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

What is the probability of the humans to score less than 1?

[2]

Flip a coin 10 times.
Each time a Head comes up you win $1. It costs $18 to play (paid once). How much money would you expect to make altogether?

[1]

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


0.8	0.2
orange	blue
Color

How many blue balls were in the bag?

[1]

Roll 12 6-sided dice.
How many times would you expect to get anything except 2?

[1]

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


0.2	0.8
purple	green
Color

How many green balls were in the bag?

[1]

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

dogs
3	1	5	1
13	14	15	16	17
Time

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

[2]

There are 50 balls in a bag. This is is the probability distribution of their color:


0.3	0.5	0.2
red	pink	orange
Color

How many pink balls were in the bag?

[1]

Roll 72 6-sided dice.
How many times would you expect to get more than or equal to 4?

[1]

An obstacle course has 1 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?

[1]