Probability Powerplay

Level 6, 2026-07-16

Flip a coin 2 times.
Each time a head comes up you win $3 and with each tail you lose $4. How much money would you expect to make altogether?

[1]

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

people
Apples	0	1
	1	1
	2	3
	3	6

What fraction of the people eat exactly 3 Apples in a day?

[2]

Roll 1 6-sided die.
What is the probability of getting a number smaller than or equal to 3?

[1]

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

Pizzas	girls
0	2
1	0
2	0
3	6

What fraction of the girls eat exactly 3 Pizzas in a month?

[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:


		0.1		0.9
1	2	3	4	5
Number

What is the probability of rolling 3 or 5?

[1]

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


0.5	0.5
orange	pink
Color

How many orange balls were in the bag?

[1]

A wheel has 5 green sections and 7 orange sections.
What is the probability of getting green?

[1]

There are 100 balls in a bag. This is is the probability distribution of their color:


0.6		0.4
green	red	purple
Color

If you choose a random ball from the bag, what is the probability of it being purple or green?

[1]

Roll 96 6-sided dice.
How many times would you expect to get less than or equal to 6?

[1]

There are 16 balls in a bag. This is is the probability distribution of their color:


0.5	0.5
red	blue
Color

How many blue balls were in the bag?

[1]

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

[1]

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

dogs
6		3	4	5
13	14	15	16	17
Time

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

[2]

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

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

What fraction of the people score less than 4?

[2]

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

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

What fraction of the dogs score exactly 1?

[2]

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

[1]