Probability Powerplay
Level 6, 2026-09-11
A group of people did a math test and here are their scores out of 5:
people

255442
012345
Score

What fraction of the people score exactly 0?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
bluegreen
Color

Probability of Type

1
sedanwagon
Type

What is the probability of a car being a blue wagon?
[2]
There are 36 balls in a bag. This is is the probability distribution of their color:


0.750.25
orangeblue
Color

How many blue balls were in the bag?
[1]
A bag has 7 balls with number 3 and 8 balls with a number 4. You take out 1 ball.
What is the probability of getting the ball with the number 3?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.80.2
greenpurplepink
Color

If you choose a random ball from the bag, what is the probability of it being green?
[1]
We asked a group of humans how many Pillows they eat in a month. Here are the results:
humans

153
0123
Pillows

What fraction of the humans eat exactly 2 Pillows in a month?
[2]
A group of dogs did a math test and here are their scores out of 5:
dogs

36556
012345
Score

What is the probability of the dogs to score more than 4?
[2]
You shoot an arrow at a target. You will either score 20 (50% chance), 30 (40% chance), or 50. What average score do you expect to get if you do this many times?
[1]
Roll 120 6-sided dice.
How many times would you expect to get a number more than 6?
[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:


0.650.150.2
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[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:


0.50.050.20.25
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 10 and a 20% chance of scoring a 40 and a 50% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A bag has 7 balls with numbers from 2 to 8. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[1]
Flip a coin 12 times.
Each time a Tail comes up you win $3. It costs $17 to play (paid once). How much money would you expect to make altogether?
[1]
There are 5 balls in a bag. This is is the probability distribution of their color:


0.80.2
greenpurple
Color

How many purple balls were in the bag?
[1]
A wheel has 7 orange sections and 3 yellow sections.
What is the probability of getting orange?
[1]