Probability Powerplay
Level 6, 2026-09-23
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:


0.20.10.150.55
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
01
15
22
31
45
52

What fraction of the humans score more than 5?
[2]
A bag has 11 balls with numbers from 2 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 6?
[1]
Roll 12 6-sided dice.
How many times would you expect to get an even number?
[1]
You shoot an arrow at a target. You will either score 10 (50% chance), 40 (10% chance), or 50. What average score do you expect to get if you do this many times?
[1]
Flip a coin 12 times.
Each time a head comes up you win $4 and with each tail you lose $4. How much money would you expect to make altogether?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 4 and a tail?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
We asked a group of girls how many Pillows they eat in a month. Here are the results:
Pillowsgirls
05
10
25
33

What fraction of the girls eat exactly 4 Pillows in a month?
[2]
A bag has 7 balls with numbers from 1 to 7. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 5?
[1]
A bag has 8 balls with numbers from 4 to 11. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 3?
[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:


0.050.250.20.5
12345
Number

What is the probability of rolling 2 or 3?
[1]
We asked a group of humans how many Apples they eat in a week. Here are the results:
humans

Apples03
11
2
34

What fraction of the humans eat exactly 4 Apples in a week?
[2]
A bag has 5 balls with numbers from 4 to 8. You take out 1 ball.
What is the probability of NOT getting the ball with the number 9?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
blueorange
Color

Probability of Type

0.50.5
wagonsedan
Type

What is the probability of a car being a orange sedan?
[2]
A bag has 7 balls with number 6 and 8 balls with a number 5. What will be the average of the numbers of the balls taken out of the bag
[1]