Probability Powerplay
Level 6, 2026-01-19
There are 10 balls in a bag. This is is the probability distribution of their color:


0.20.8
purpleblueyellow
Color

If you choose a random ball from the bag, what is the probability of it being purple or blue?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20 and a 40% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A bag has 3 red balls, 3 green balls and 5 blue balls. You take out 1 ball.
What is the probability of getting a red ball or a blue ball?
[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:


0.850.15
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 1?
[1]
The chances of feeling like icecream are 60%. The chances of being near an icecream store are 80%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.50.5
yellowgreenpurple
Color

If you choose a random ball from the bag, what is the probability of it not being yellow?
[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:


0.80.10.1
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 4?
[1]
A bag has 7 red balls and 9 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 30 balls in a bag. This is is the probability distribution of their color:


0.50.5
redpinkyellow
Color

How many pink balls were in the bag?
[1]
A bag has 7 balls with numbers from 1 to 7. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 5?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.60.10.3
yellowgreenblue
Color

How many yellow 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:


0.650.150.2
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
Flip 2 coins.
What is the probability of getting a head and a tail?
[1]
Roll 108 6-sided dice.
How many times would you expect to get more than or equal to 1?
[1]
A group of people did a math test and here are their scores out of 5:
Scorepeople
02
11
25
34
45
54

What is the probability of the people to score exactly 3?
[2]
A bag has 11 balls with numbers from 2 to 12. You take out 1 ball.
What is the probability of getting the ball with the number 12?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.50.20.3
redyellowpurple
Color

If you choose a random ball from the bag, what is the probability of it being yellow?
[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:


0.90.1
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]
Flip a coin 16 times.
Each time a Head comes up you win $3. It costs $24 to play (paid once). How much money would you expect to make altogether?
[1]