Probability Powerplay
Level 6, 2026-11-08
There are 20 balls in a bag. This is is the probability distribution of their color:


0.750.25
yellowblue
Color

How many blue balls were in the bag?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 30, a 30% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
Roll 12 6-sided dice.
How many times would you expect to get an ugly number?
[1]
A wheel has 7 red sections and 5 orange sections.
What is the probability of getting orange?
[1]
A bag has 2 balls with number 1 and 3 balls with a number 3. What will be the average of the numbers of the balls taken out of the bag
[1]
We asked a group of humans how many Chocolates they eat in a month. Here are the results:
Chocolateshumans
04
15
23
36

What is the probability of the humans to eat exactly 2 Chocolates in a month?
[2]
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:


0.550.10.250.1
12345
Number

What is the probability of rolling 2 or 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:


0.60.10.050.25
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score05
16
22
31
42
56

What fraction of the boys score exactly 0?
[2]
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:


0.250.050.250.45
12345
Number

What is the probability of rolling a 2?
[1]
Roll 24 6-sided dice.
How many times would you expect to get a number less than 5?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
purplepink
Color

Probability of Type

0.90.1
sedanwagon
Type

What is the probability of a car being a purple wagon?
[2]
A bag has 9 balls with numbers from 4 to 12. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 5?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
redblue
Color

Probability of Type

0.30.7
sedanwagon
Type

What is the probability of a car being a blue wagon?
[2]
Flip a coin 4 times.
Each time a Tail comes up you win $3. It costs $4 to play (paid once). How much money would you expect to make altogether?
[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:


0.850.15
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 3?
[1]