Probability Powerplay
Level 6, 2026-08-03
A group of kids were timed running 100m. Here are the results:
Timekids
135
145
153
166
170

What fraction of the kids run 100m in less than 15s?
[2]
A bag has 7 balls with numbers from 3 to 9. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 7?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.20.8
yelloworangeblue
Color

How many blue balls were in the bag?
[1]
We asked a group of dogs how many Oranges they eat in a month. Here are the results:
dogs

65
0123
Oranges

What fraction of the dogs eat less than 3 Oranges in a month?
[2]
Roll 120 6-sided dice.
How many times would you expect to get more than or equal to 1?
[1]
A wheel has 10 sections, each has a reward in dollars, from $1 through to $10.
What prize do we expect to get if we spin the wheel?
[1]
A bag has 4 red balls and 5 blue balls. You take out 1 blue ball, then another ball.
What is the probability of getting red for the second ball?
[1]
Roll 132 6-sided dice.
How many times would you expect to get a number less than 6?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
purpleredorange
Color

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


0.650.050.10.2
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
Flip a coin 12 times.
Each time a Tail comes up you win $1. It costs $15 to play (paid once). How much money would you expect to make altogether?
[1]
We asked a group of humans how many Icecreams they eat in a month. Here are the results:
humans

Icecreams04
15
22
32

What fraction of the humans eat exactly 1 Icecreams in a month?
[2]
A group of boys were timed running 100m. Here are the results:
boys

Time13
144
152
163
175

What is the probability of the boys to run 100m in exactly 16s?
[2]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.750.25
blueyellow
Color

How many blue balls were in the bag?
[1]
A bag has 4 red balls, 4 blue balls and 7 yellow balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
There are 15 balls in a bag. This is is the probability distribution of their color:


0.20.8
orangeblue
Color

How many orange balls were in the bag?
[1]