Probability Powerplay
Level 6, 2026-08-28
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:


0.20.10.7
12345
Number

What is the probability of rolling a 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:


0.150.250.150.45
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 1?
[1]
A bag has 3 balls with numbers from 5 to 7. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 7?
[1]
A bag has 6 red balls, 10 blue balls and 2 yellow balls. You take out a red ball, then a yellow ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 30, a 40% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A bag has 10 red balls, 6 blue balls and 7 yellow balls. You take out a red ball, then a yellow ball, then another ball.
What is the probability of getting yellow 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:


0.40.150.10.20.15
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score06
15
24
36
42
53

What fraction of the girls score more than 4?
[2]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.90.1
blueyellowpink
Color

How many yellow balls were in the bag?
[1]
The chances of feeling like icecream are 90%. The chances of being near an icecream store are 40%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
A bag has 6 balls with numbers from 4 to 9. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 10?
[1]
A group of people did a math test and here are their scores out of 5:
people

131265
012345
Score

What is the probability of the people to score less than 1?
[2]
A bag has 7 balls with number 7 and 5 balls with a number 6. What will be the average of the numbers of the balls taken out of the bag
[1]
Roll 96 6-sided dice.
How many times would you expect to get a number less than 5?
[1]
Roll 1 6-sided die.
What is the probability of getting an even number?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 30% chance of scoring a 40 and a 30% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score04
16
24
3
45
5

What fraction of the kids score exactly 5?
[2]