Probability Powerplay
Level 6, 2026-09-06
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:


0.20.10.050.65
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller 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:


0.10.250.65
12345
Number

What is the probability of rolling 2 or 5?
[1]
A bag has 9 balls with number 5 and 3 balls with a number 4. What will be the average of the numbers of the balls taken out of the bag
[1]
We asked a group of girls how many Pillows they eat in a week. Here are the results:
Pillowsgirls
04
16
26
33

What fraction of the girls eat exactly 4 Pillows in a week?
[2]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
01
11
20
30
44
51

What is the probability of the humans to score less than 1?
[2]
A bag has 4 balls with numbers from 5 to 8. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 8?
[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:


0.30.10.20.150.25
12345
Number

What is the probability of rolling a number that is bigger than 2?
[1]
Roll 90 6-sided dice.
How many times would you expect to get more than or equal to 4?
[1]
Roll 6 6-sided dice.
How many times would you expect to get a number less than 4?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.40.40.2
purplebluepink
Color

How many blue 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:


0.20.20.10.250.25
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]
A wheel has 10 sections, 2 of each color.
What is the probability of getting orange?
[1]
A wheel has 6 purple sections and 3 blue sections.
What is the probability of getting purple?
[1]
A wheel has 14 sections, each has a reward in dollars, from $1 through to $14.
What prize do we expect to get if we spin the wheel?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 90%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
A wheel has 2 sections, each a different color.
What is the probability of getting blue?
[1]
Flip a coin 10 times.
Each time a head comes up you win $3 and with each tail you lose $2. It costs $18 to play (paid once). How much money would you expect to make altogether?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.10.20.7
greenpinkblue
Color

How many pink balls were in the bag?
[1]