Probability Powerplay

Level 6, 2026-08-27

Flip a coin 10 times.
Each time a Tail comes up you win $2. How much money would you expect to make altogether?

[1]

Roll 72 6-sided dice.
How many times would you expect to get anything except 6?

[1]

There are 2 balls in a bag. This is is the probability distribution of their color:


0.5	0.5
yellow	blue
Color

How many yellow 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:


0.55	0.25	0.2
1	2	3	4	5
Number

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

[1]

Roll 150 6-sided dice.
How many times would you expect to get a number more than 6?

[1]

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


0.4		0.6
purple	pink	red
Color

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

[1]

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

Time	boys
13	5
14	2
15	5
16	2
17	1

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

[2]

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

dogs
Oranges	0	1
	1	5
	2	1
	3	4

What fraction of the dogs eat exactly 3 Oranges in a day?

[2]

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


0.75	0.25
orange	purple
Color

How many purple balls were in the bag?

[1]

Flip 2 coins.
What is the probability of getting a head and a tail?

[1]

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

boys
2	5	5		5
0	1	2	3	4	5
Score

What is the probability of the boys to score more than 3?

[2]

We asked a group of boys how many Bowls of Ramen they eat in a week. Here are the results:

Bowls of Ramen	boys
0	3
1	4
2	0
3	2

What is the probability of the boys to eat less than 1 Bowls of Ramen in a week?

[2]

Flip a coin 12 times.
Each time a head comes up you win $1 and with each tail you lose $4. How much money would you expect to make altogether?

[1]

The weather forecast says that the chances of rain are 70%. Your chance of being outside today is 90%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?

[1]

Cars go by on a road, each is a different color and type.

Probability of Color
0.7	0.3
green	pink
Color

Probability of Type
	1
wagon	sedan
Type

What is the probability of a car being a pink wagon?

[2]