Probability Powerplay
Level 6, 2026-04-07
A group of people did a math test and here are their scores out of 5:
people

21154
012345
Score

What is the probability of the people to score more than 3?
[2]
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:


0.70.150.15
12345
Number

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


0.450.20.250.1
12345
Number

What is the probability of rolling a 2?
[1]
A bag has 4 balls with numbers from 1 to 4. You take out 1 ball.
What is the probability of getting the ball with the number 1?
[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:


0.250.050.20.150.35
12345
Number

What is the probability of rolling 2 or 5?
[1]
Flip 3 coins.
What is the probability of getting 3 tails?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than or equal to 2?
[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:


0.650.050.050.25
12345
Number

What is the probability of rolling a number from 2 to 5?
[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:


0.10.10.8
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
A bag has 9 balls with numbers from 4 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 8?
[1]
A bag has 7 red balls and 9 blue balls. You take out 1 ball.
What is the probability of getting a blue ball?
[1]
There are 12 balls in a bag. This is is the probability distribution of their color:


0.250.75
pinkblue
Color

How many pink balls were in the bag?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 4 and a head?
[1]
A wheel has 8 sections, 2 of each color.
What is the probability of getting green?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
02
16
24
35
45
54

What is the probability of the humans to score less than 0?
[2]
Roll 144 6-sided dice.
How many times would you expect to get less than 4?
[1]
A group of people were timed running 100m. Here are the results:
people

4631
1314151617
Time

What fraction of the people run 100m in more than 15s?
[2]