Probability Powerplay

Level 6, 2026-07-10

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

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

What fraction of the girls score more than 5?

[2]

An obstacle course has 2 Fences and 1 Ditches. You have a 100% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?

[1]

The chances of feeling like icecream are 60%. The chances of being near an icecream store are 40%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?

[1]

Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are odd?

[1]

There are 90 balls in a bag. This is is the probability distribution of their color:


0.3	0.5	0.2
red	purple	green
Color

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

[1]

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

boys
Time	13	5
	14	5
	15	4
	16	5
	17

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

[2]

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

[1]

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

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

What fraction of the people score exactly 0?

[2]

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

people
2	6	6	6
0	1	2	3
Sandwiches

What fraction of the people eat exactly 4 Sandwiches in a month?

[2]

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


0.6	0.4
blue	pink	yellow
Color

How many blue balls were in the bag?

[1]

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

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

What is the probability of the kids to score exactly 3?

[2]

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


	0.5	0.5
green	pink	yellow
Color

How many green balls were in the bag?

[1]

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

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

What fraction of the dogs score exactly 1?

[2]

You shoot an arrow at a target. There is a 50% chance of scoring a 10, a 40% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?

[1]