Probability Powerplay
Level 6, 2026-10-11
You shoot an arrow at a target. You will either score 10 (30% chance), 40 (20% chance), or 50. What average score do you expect to get if you do this many times?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A bag has 10 red balls and 5 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
There are 14 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkpurple
Color

How many pink balls were in the bag?
[1]
We asked a group of people how many Apples they eat in a week. Here are the results:
Applespeople
05
12
20
33

What is the probability of the people to eat exactly 3 Apples in a week?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
pinkpurple
Color

Probability of Type

0.30.7
wagonsedan
Type

What is the probability of a car being a purple wagon?
[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:


0.10.250.65
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller 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:


0.750.10.15
12345
Number

What is the probability of rolling a number that is smaller 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:


0.250.150.250.150.2
12345
Number

What is the probability of rolling 3 or 4?
[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:


0.250.20.250.20.1
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 4?
[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:


0.250.150.150.20.25
12345
Number

What is the probability of rolling a number that is smaller than 1?
[1]
Flip a coin 2 times.
Each time a Tail comes up you win $2. 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:


0.10.250.250.20.2
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
The weather forecast says that the chances of rain are 30%. Your chance of being outside today is 80%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
Roll 84 6-sided dice.
How many times would you expect to get anything except 1?
[1]
Roll 1 6-sided die.
What is the probability of getting a 5?
[1]
A bag has 6 balls with number 6 and 5 balls with a number 1. You take out 1 ball.
What is the probability of getting the ball with the number 1?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are even?
[1]