Probability Powerplay
Level 6, 2026-07-01
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 70%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
A bag has 4 red balls and 4 blue balls. You take out 1 ball.
What is the probability of getting a red ball?
[1]
Flip a coin 12 times.
Each time a Tail comes up you win $3. How much money would you expect to make altogether?
[1]
Roll 54 6-sided dice.
How many times would you expect to get more than 6?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


1
blueorangeyellow
Color

How many orange balls were in the bag?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.50.30.2
yellowgreenblue
Color

If you choose a random ball from the bag, what is the probability of it being yellow?
[1]
Roll 66 6-sided dice.
How many times would you expect to get a number more than 0?
[1]
We asked a group of people how many Sandwiches they eat in a day. Here are the results:
people

Sandwiches04
14
23
35

What fraction of the people eat less than 1 Sandwiches in a day?
[2]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.20.7
redyellowgreen
Color

How many yellow balls were in the bag?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 12?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.90.1
purplegreen
Color

How many green balls were in the bag?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.250.75
bluepurple
Color

How many blue balls were in the bag?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

651356
012345
Score

What fraction of the kids score more than 1?
[2]
We asked a group of boys how many Peaches they eat in a month. Here are the results:
Peachesboys
05
15
22
33

What fraction of the boys eat less than 1 Peaches in a month?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
yellowpinkgreen
Color

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