Probability Powerplay

Level 6, 2026-11-11

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

dogs
Time	13	1
	14	2
	15	3
	16	3
	17

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

[2]

The weather forecast says that the chances of rain are 30%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 40%.
What is the probability of getting wet today?

[1]

A bag has 8 red balls, 9 blue balls and 2 yellow balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?

[1]

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


0.5	0.3	0.2
orange	blue	red
Color

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

[1]

A bag has 5 red balls, 10 green balls and 2 blue balls. You take out 1 ball.
What is the probability of getting a blue ball?

[1]

There are 60 balls in a bag. This is is the probability distribution of their color:


0.2	0.8
blue	red
Color

How many red balls were in the bag?

[1]

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

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

What is the probability of the kids to score exactly 1?

[2]

Flip a coin 10 times.
Each time a head comes up you win $2 and with each tail you lose $2. It costs $8 to play (paid once). How much money would you expect to make altogether?

[1]

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

dogs
2	3	4	3
13	14	15	16	17
Time

What is the probability of the dogs to run 100m in less than 15s?

[2]

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

girls
Icecreams	0	1
	1	1
	2	1
	3	2

What is the probability of the girls to eat exactly 1 Icecreams in a month?

[2]

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

people
Bowls of Ramen	0	1
	1	2
	2	5
	3

What fraction of the people eat more than 4 Bowls of Ramen in a month?

[2]

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


0.5	0.4	0.1
orange	blue	yellow
Color

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

[1]

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

girls
6	1	5	2
0	1	2	3
Peaches

What is the probability of the girls to eat less than 2 Peaches in a day?

[2]

You shoot an arrow at a target. There is a 40% chance of scoring a 10 and a 20% chance of scoring a 40 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?

[1]