Probability Powerplay
Level 6, 2026-02-22
Flip a coin 2 times.
Each time a head comes up you win $4 and with each tail you lose $2. How much money would you expect to make altogether?
[1]
Flip a coin 16 times.
Each time a head comes up you win $3 and with each tail you lose $1. How much money would you expect to make altogether?
[1]
We asked a group of dogs how many Peaches they eat in a week. Here are the results:
Peachesdogs
02
12
22
34

What fraction of the dogs eat less than 1 Peaches in a week?
[2]
Roll 138 6-sided dice.
How many times would you expect to get an even number?
[1]
The chances of feeling like icecream are 60%. 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]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
greenpurpleorange
Color

How many green balls were in the bag?
[1]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 70%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are more than 3?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
greenpinkred
Color

How many red balls were in the bag?
[1]
Flip a coin 8 times.
Each time a head comes up you win $1 and with each tail you lose $2. It costs $14 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 3 red balls, 8 green balls and 8 blue balls. You take out 1 ball.
What is the probability of NOT getting a red ball?
[1]
You shoot an arrow at a target. There is a 80% chance of scoring a 20 and a 20% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
There are 110 balls in a bag. This is is the probability distribution of their color:


0.10.9
pinkpurple
Color

How many purple balls were in the bag?
[1]
We asked a group of kids how many Pillows they eat in a day. Here are the results:
kids

444
0123
Pillows

What fraction of the kids eat less than 3 Pillows in a day?
[2]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
05
13
23
30
44
55

What is the probability of the humans to score more than 2?
[2]
Roll 102 6-sided dice.
How many times would you expect to get an odd number?
[1]
A wheel has 10 sections, each a number on it from 1 to 10. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]