Probability Powerplay

Level 6, 2026-04-02

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

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

What is the probability of the dogs to score more than 5?

[2]

You shoot an arrow at a target. There is a 90% chance of scoring a 10 and a 10% chance of scoring a 60. What average score do you expect to get if you do this many times?

[1]

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

people
5	1	2
0	1	2	3
Sandwiches

What fraction of the people eat less than 3 Sandwiches in a day?

[2]

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


0.2	0.8
pink	green
Color

How many pink balls were in the bag?

[1]

Roll 138 6-sided dice.
How many times would you expect to get less than or equal to 3?

[1]

The chances of feeling like icecream are 60%. The chances of being near an icecream store are 60%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?

[1]

A bag has 7 red balls, 9 green balls and 7 blue balls. You take out 1 ball.
What is the probability of getting a red ball?

[1]

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


	0.2	0.8
green	pink	blue
Color

If you choose a random ball from the bag, what is the probability of it not being blue or green?

[1]

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

girls
Time	13	5
	14	4
	15
	16	2
	17	4

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

[2]

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


	0.4	0.6
blue	green	red
Color

How many red 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:


0.05	0.25	0.25		0.45
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 5?

[1]

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

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

What fraction of the humans score more than 4?

[2]

You shoot an arrow at a target. There is a 60% chance of scoring a 30, a 20% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?

[1]

You shoot an arrow at a target. There is a 50% chance of scoring a 20 and a 50% chance of scoring a 50. What average score do you expect to get if you do this many times?

[1]

There are 32 balls in a bag. This is is the probability distribution of their color:


0.25	0.75
green	orange
Color

How many orange balls were in the bag?

[1]

A wheel has 8 sections, each a number on it from 1 to 8. 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]