Probability Powerplay
Level 6, 2026-08-08
A bag has 7 red balls and 5 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting blue for the last 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:


0.150.050.8
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 2?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 30, a 20% 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]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are odd?
[1]
A group of people were timed running 100m. Here are the results:
people

4643
1314151617
Time

What is the probability of the people to run 100m in exactly 17s?
[2]
We asked a group of humans how many Bananas they eat in a week. Here are the results:
humans

121
0123
Bananas

What is the probability of the humans to eat exactly 1 Bananas in a week?
[2]
The chances of feeling like icecream are 60%. The chances of being near an icecream store are 90%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
We asked a group of kids how many Hot dogs they eat in a week. Here are the results:
kids

4223
0123
Hot dogs

What fraction of the kids eat less than 3 Hot dogs in a week?
[2]
There are 55 balls in a bag. This is is the probability distribution of their color:


0.80.2
orangeblue
Color

How many blue balls were in the bag?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

24555
012345
Score

What fraction of the humans score more than 1?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 20, a 30% 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]
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:


0.550.150.050.20.05
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 1?
[1]
The chances of feeling like icecream are 50%. The chances of being near an icecream store are 70%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
A bag has 2 balls with number 6 and 6 balls with a number 9. What will be the average of the numbers of the balls taken out of the bag
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are even?
[1]
Roll 1 6-sided die.
What is the probability of NOT getting a 5?
[1]