Probability Powerplay
Level 6, 2026-08-22
A group of people were timed running 100m. Here are the results:
people

16135
1314151617
Time

What fraction of the people run 100m in exactly 16s?
[2]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.90.1
blueorange
Color

How many blue balls were in the bag?
[1]
Flip a coin 14 times.
Each time a Tail comes up you win $1. It costs $27 to play (paid once). How much money would you expect to make altogether?
[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:


0.650.150.2
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 1?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

2156
012345
Score

What is the probability of the humans to score exactly 3?
[2]
Flip a coin 6 times.
Each time a head comes up you win $1 and with each tail you lose $4. How much money would you expect to make altogether?
[1]
A bag has 2 balls with numbers from 1 to 2. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 2?
[1]
A group of kids were timed running 100m. Here are the results:
kids

Time132
144
15
166
176

What is the probability of the kids to run 100m in exactly 15s?
[2]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 10% chance of scoring a 30 and a 60% chance of scoring a 60. What average score do you expect to get if you do this many times?
[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 bag has 11 balls with numbers from 1 to 11. You take out 1 ball.
What is the probability of getting a ball with a number more than 12?
[1]
A bag has 10 balls with numbers from 2 to 11. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 12?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.20.8
purpleyellow
Color

How many yellow balls were in the bag?
[1]
We asked a group of kids how many Burgers they eat in a month. Here are the results:
Burgerskids
05
15
26
34

What is the probability of the kids to eat exactly 0 Burgers in a month?
[2]
We asked a group of humans how many Oranges they eat in a day. Here are the results:
humans

454
0123
Oranges

What is the probability of the humans to eat more than 4 Oranges in a day?
[2]