Probability Powerplay
Level 6, 2026-02-22
You shoot an arrow at a target. You will either score 10 (40% chance), 30 (20% chance), or 60. What average score do you expect to get if you do this many times?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 2 and a tail?
[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:


0.750.050.2
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 5?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 5 and a head?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score02
1
23
31
43
54

What fraction of the boys score more than 2?
[2]
An obstacle course has 1 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Flip a coin 8 times.
Each time a head comes up you win $4 and with each tail you lose $4. It costs $9 to play (paid once). How much money would you expect to make altogether?
[1]
A wheel has 8 pink sections and 5 red sections.
What is the probability of getting red?
[1]
A bag has 12 balls with numbers from 1 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 10?
[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:


0.60.250.15
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
A bag has 3 balls with number 5 and 5 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 5?
[1]
Roll 114 6-sided dice.
How many times would you expect to get an even number?
[1]
Flip a coin 16 times.
Each time a Tail comes up you win $3. How much money would you expect to make altogether?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 6?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.50.20.3
redpinkorange
Color

How many red 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:


0.950.05
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]
Roll 144 6-sided dice.
How many times would you expect to get more than or equal to 1?
[1]
Flip a coin 2 times.
Each time a Tail comes up you win $1. How much money would you expect to make altogether?
[1]
Flip a coin 4 times.
Each time a Head comes up you win $2. How much money would you expect to make altogether?
[1]