Probability Powerplay
Level 6, 2026-03-05
You shoot an arrow at a target. There is a 70% chance of scoring a 10 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A bag has 8 balls with numbers from 3 to 10. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 3?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.250.75
blueyellow
Color

How many blue balls were in the bag?
[1]
Flip a coin 2 times.
Each time a head comes up you win $1 and with each tail you lose $1. It costs $2 to play (paid once). How much money would you expect to make altogether?
[1]
Flip a coin 14 times.
Each time a Tail comes up you win $3. 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:


0.150.20.20.20.25
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 4?
[1]
Flip a coin 16 times.
Each time a head comes up you win $2 and with each tail you lose $4. It costs $22 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:


0.50.20.10.2
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 3?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

422613
012345
Score

What is the probability of the kids to score less than 5?
[2]
There are 25 balls in a bag. This is is the probability distribution of their color:


0.20.8
orangeyellow
Color

How many orange balls were in the bag?
[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:


0.250.250.5
12345
Number

What is the probability of rolling 2 or 4?
[1]
Flip a coin 12 times.
Each time a head comes up you win $4 and with each tail you lose $2. It costs $15 to play (paid once). How much money would you expect to make altogether?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.70.10.2
pinkgreenorange
Color

If you choose a random ball from the bag, what is the probability of it being orange or pink?
[1]
A group of humans were timed running 100m. Here are the results:
Timehumans
131
140
156
161
172

What is the probability of the humans to run 100m in exactly 16s?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 6 and a head?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
pinkredblue
Color

How many pink balls were in the bag?
[1]
There are 12 balls in a bag. This is is the probability distribution of their color:


0.250.75
greenblue
Color

How many blue balls were in the bag?
[1]
A wheel has 5 purple sections and 4 blue sections.
What is the probability of getting blue?
[1]