Probability Powerplay
Level 6, 2026-11-01
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:


0.20.20.250.150.2
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 5?
[1]
A bag has 2 balls with number 7 and 4 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 7?
[1]
Roll 126 6-sided dice.
How many times would you expect to get an odd number?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 30 and a 50% chance of scoring a 50. 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 equal to 5 and a tail?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 4 and a tail?
[1]
The chances of feeling like icecream are 60%. The chances of being near an icecream store are 50%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
You flip a coin and roll a 3 sided die.
What is the probability of getting a 3 and a head?
[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:


0.050.10.85
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
Flip 1 coin.
What is the probability of getting a tail?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score03
12
25
31
44
5

What is the probability of the kids to score more than 1?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A bag has 9 balls with numbers from 3 to 11. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
A bag has 5 balls with number 6 and 6 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.250.75
purpleyellow
Color

How many purple balls were in the bag?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 10, a 40% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
The chances of feeling like icecream are 50%. The chances of being near an icecream store are 90%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
greenyellowred
Color

How many red balls were in the bag?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
blueredyellow
Color

How many yellow balls were in the bag?
[1]