Probability Powerplay

Level 6, 2026-09-08

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

dogs
Time	13	3
	14	3
	15	3
	16
	17	1

What fraction of the dogs run 100m in exactly 13s?

[2]

Flip a coin 6 times.
Each time a Tail comes up you win $3. It costs $8 to play (paid once). How much money would you expect to make altogether?

[1]

You flip a coin and roll a 6 sided die.
What is the probability of getting a number less than 1 and a head?

[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:


0.05	0.25	0.05		0.65
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 3?

[1]

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

Time	dogs
13	5
14	3
15	4
16	4
17	1

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

[2]

Roll 120 6-sided dice.
How many times would you expect to get less than 5?

[1]

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

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

What fraction of the dogs score exactly 1?

[2]

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

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

What fraction of the humans score less than 5?

[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:


0.6	0.2	0.1		0.1
1	2	3	4	5
Number

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

[1]

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

girls
Time	13	3
	14	3
	15	1
	16
	17	2

What is the probability of the girls to run 100m in exactly 14s?

[2]

A wheel has 9 sections, each a number on it from 1 to 9. 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]

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

Time	dogs
13	1
14	1
15	2
16	2
17	6

What is the probability of the dogs to run 100m in more than 16s?

[2]

You shoot an arrow at a target. There is a 90% chance of scoring a 30 and a 10% chance of scoring a 50. What average score do you expect to get if you do this many times?

[1]

There are 25 balls in a bag. This is is the probability distribution of their color:


0.8	0.2
orange	pink
Color

How many orange balls were in the bag?

[1]