Probability Powerplay

Level 6, 2026-09-14

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

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

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

[2]

Roll 72 6-sided dice.
How many times would you expect to get an even number?

[1]

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

boys
Time	13	6
	14
	15	1
	16	2
	17	4

What fraction of the boys run 100m in more than 16s?

[2]

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

humans
Popsicles	0	4
	1	3
	2	5
	3	6

What fraction of the humans eat exactly 1 Popsicles in a day?

[2]

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

Apples	humans
0	3
1	6
2	5
3	0

What fraction of the humans eat less than 4 Apples in a month?

[2]

There are 30 balls in a bag. This is is the probability distribution of their color:


0.3		0.7
green	purple	yellow
Color

How many purple balls were in the bag?

[1]

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


0.4	0.2	0.4
pink	green	blue
Color

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

[1]

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

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

What fraction of the boys score more than 5?

[2]

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

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

What fraction of the girls score exactly 4?

[2]

The weather forecast says that the chances of rain are 60%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 90%.
What is the probability of getting wet today?

[1]

Roll 30 6-sided dice.
How many times would you expect to get more than or equal to 5?

[1]

You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 3?

[1]

A wheel has 7 sections, each a number on it from 1 to 7. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?

[1]