Probability Powerplay

Level 6, 2026-10-15

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

boys
5	6	3	1
13	14	15	16	17
Time

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

[2]

Roll 90 6-sided dice.
How many times would you expect to get more than 3?

[1]

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

kids
5	3	3	1
0	1	2	3
Chocolates

What is the probability of the kids to eat exactly 0 Chocolates in a week?

[2]

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

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

What is the probability of the dogs to score less than 4?

[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	0.25			0.5
1	2	3	4	5
Number

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

[1]

There are 70 balls in a bag. This is is the probability distribution of their color:


0.5		0.5
yellow	orange	red
Color

How many orange balls were in the bag?

[1]

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

girls
5	4	2	4
13	14	15	16	17
Time

What fraction of the girls run 100m in less than 13s?

[2]

A wheel has 7 sections, each a number on it from 1 to 7. 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]

Flip a coin 4 times.
Each time a Head comes up you win $4. How much money would you expect to make altogether?

[1]

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

girls
4	1	1	3
0	1	2	3
Oranges

What is the probability of the girls to eat exactly 3 Oranges in a week?

[2]

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

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

What fraction of the girls run 100m in more than 13s?

[2]

There are 10 balls in a bag. This is is the probability distribution of their color:


0.6	0.1	0.3
orange	green	yellow
Color

How many green 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:


0.45	0.1	0.05	0.25	0.15
1	2	3	4	5
Number

What is the probability of rolling a number that is smaller than or equal to 2?

[1]

You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 10% chance of scoring a 30 and a 60% chance of scoring a 50. What average score do you expect to get if you do this many times?

[1]