Probability Powerplay
Level 6, 2026-06-01
Roll 114 6-sided dice.
How many times would you expect to get less than or equal to 5?
[1]
A bag has 5 balls with number 6 and 5 balls with a number 3. You take out 1 ball.
What is the probability of getting the ball with the number 3?
[1]
The chances of feeling like icecream are 80%. The chances of being near an icecream store are 80%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.20.30.5
greenredblue
Color

How many green 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:


0.350.250.10.10.2
12345
Number

What is the probability of rolling 3 or 5?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
06
13
22
36
40
52

What is the probability of the dogs to score exactly 1?
[2]
A bag has 2 balls with number 9 and 8 balls with a number 8. You take out 1 ball.
What is the probability of getting the ball with the number 9?
[1]
Flip a coin 16 times.
Each time a head comes up you win $1 and with each tail you lose $3. It costs $22 to play (paid once). How much money would you expect to make altogether?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
pinkyellowgreen
Color

If you choose a random ball from the bag, what is the probability of it being yellow?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
136
146
151
163
174

What is the probability of the kids to run 100m in more than 14s?
[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:


0.750.050.2
12345
Number

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

Score02
1
26
31
41
56

What is the probability of the girls to score more than 2?
[2]
A bag has 4 balls with numbers from 5 to 8. You take out 1 ball.
What is the probability of getting the ball with the number 8?
[1]
There are 12 balls in a bag. This is is the probability distribution of their color:


0.750.25
yellowgreen
Color

How many green balls were in the bag?
[1]
A bag has 6 balls with numbers from 4 to 9. You take out 1 ball.
What is the probability of getting the ball with the number 9?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time133
145
151
16
175

What fraction of the humans run 100m in more than 14s?
[2]