Probability Powerplay
Level 6, 2026-07-26
There are 60 balls in a bag. This is is the probability distribution of their color:


0.50.5
purplegreenorange
Color

How many green balls were in the bag?
[1]
A group of boys were timed running 100m. Here are the results:
boys

5663
1314151617
Time

What fraction of the boys run 100m in more than 17s?
[2]
Roll 120 6-sided dice.
How many times would you expect to get more than or equal to 1?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.90.1
orangeyellow
Color

How many orange balls were in the bag?
[1]
A bag has 2 red balls, 7 blue balls and 6 yellow balls. You take out a blue ball, then a yellow ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 30 and a 40% 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 more than 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:


0.60.20.150.05
12345
Number

What is the probability of rolling a number that is bigger than 3 and 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:


0.150.150.250.45
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
Roll 12 6-sided dice.
How many times would you expect to get anything except 6?
[1]
There are 22 balls in a bag. This is is the probability distribution of their color:


0.50.5
purpleyellow
Color

How many purple balls were in the bag?
[1]
Roll 90 6-sided dice.
How many times would you expect to get less than 6?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

36251
012345
Score

What is the probability of the kids to score more than 2?
[2]
Roll 2 6-sided dice.
What is the probability of getting a 4 on both dice?
[1]
Flip 7 coins.
What is the probability of getting 7 heads?
[1]
You flip a coin and roll a 7 sided die.
What is the probability of getting a 4 and a tail?
[1]
An obstacle course has 1 Fences and 2 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]
You flip a coin and roll a 3 sided die.
What is the probability of getting a 5 and a tail?
[1]