Probability Powerplay
Level 6, 2026-07-02
A bag has 4 balls with number 2 and 7 balls with a number 5. What will be the average of the numbers of the balls taken out of the bag
[1]
We asked a group of humans how many Bananas they eat in a month. Here are the results:
humans

6331
0123
Bananas

What fraction of the humans eat more than 4 Bananas in a month?
[2]
A group of kids did a math test and here are their scores out of 5:
Scorekids
03
16
21
32
40
52

What is the probability of the kids to score less than 4?
[2]
You shoot an arrow at a target. There is a 50% chance of scoring a 20, a 20% chance of scoring a 50, 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:


0.050.10.250.050.55
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
Roll 66 6-sided dice.
How many times would you expect to get a number more than 3?
[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:


0.50.20.050.25
12345
Number

What is the probability of rolling a number that is bigger than or equal to 3?
[1]
Roll 138 6-sided dice.
How many times would you expect to get an odd number?
[1]
Roll 120 6-sided dice.
How many times would you expect to get less than or equal to 4?
[1]
A bag has 3 balls with numbers from 4 to 6. You take out 1 ball.
What is the probability of NOT getting the ball with the number 5?
[1]
A group of boys were timed running 100m. Here are the results:
boys

Time13
144
156
161
176

What is the probability of the boys to run 100m in more than 16s?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.10.9
yellowpurple
Color

How many purple balls were in the bag?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
orangepinkblue
Color

How many pink balls were in the bag?
[1]
Roll 132 6-sided dice.
How many times would you expect to get an ugly number?
[1]
A bag has 5 balls with number 2 and 8 balls with a number 9. You take out 1 ball.
What is the probability of getting the ball with the number 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:


0.650.20.10.05
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:


0.250.10.250.150.25
12345
Number

What is the probability of rolling a number that is bigger than 2?
[1]