Probability Powerplay
Level 6, 2026-02-19
Flip a coin 14 times.
Each time a head comes up you win $1 and with each tail you lose $4. It costs $26 to play (paid once). How much money would you expect to make altogether?
[1]
We asked a group of girls how many Strawberries they eat in a day. Here are the results:
girls

36
0123
Strawberries

What fraction of the girls eat exactly 4 Strawberries in a day?
[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:


0.650.050.150.15
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 1?
[1]
We asked a group of dogs how many Chocolates they eat in a month. Here are the results:
Chocolatesdogs
00
15
23
35

What is the probability of the dogs to eat more than 4 Chocolates in a month?
[2]
There are 16 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkgreen
Color

How many pink 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:


0.550.150.150.15
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
A bag has 4 balls with number 6 and 2 balls with a number 7. You take out 1 ball.
What is the probability of getting the ball with the number 7?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.80.2
greenpinkpurple
Color

How many pink balls were in the bag?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.40.20.4
greenpurpleyellow
Color

If you choose a random ball from the bag, what is the probability of it not being purple?
[1]
Roll 132 6-sided dice.
How many times would you expect to get less than 2?
[1]
The chances of feeling like icecream are 90%. The chances of being near an icecream store are 70%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score05
13
22
32
46
53

What fraction of the people score less than 4?
[2]
Flip 2 coins.
What is the probability of getting a head and a tail?
[1]
Flip a coin 14 times.
Each time a head comes up you win $1 and with each tail you lose $3. It costs $18 to play (paid once). How much money would you expect to make altogether?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Roll 1 6-sided die.
What is the probability of NOT getting a 3?
[1]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 70%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]