Probability Powerplay
Level 6, 2026-10-10
Roll 144 6-sided dice.
How many times would you expect to get more than 6?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20, a 40% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.30.10.6
orangeredblue
Color

How many blue balls were in the bag?
[1]
The weather forecast says that the chances of rain are 70%. Your chance of being outside today is 60%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
A bag has 6 red balls, 4 blue balls and 4 yellow balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Flip a coin 12 times.
Each time a head comes up you win $1 and with each tail you lose $2. It costs $10 to play (paid once). How much money would you expect to make altogether?
[1]
We asked a group of kids how many Peaches they eat in a week. Here are the results:
kids

Peaches02
12
25
31

What fraction of the kids eat exactly 3 Peaches in a week?
[2]
A bag has 5 balls with numbers from 2 to 6. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are less than 5?
[1]
There are 44 balls in a bag. This is is the probability distribution of their color:


0.750.25
redgreen
Color

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

Pillows01
13
24
31

What fraction of the boys eat more than 2 Pillows in a day?
[2]
Roll 72 6-sided dice.
How many times would you expect to get an even number?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.20.8
pinkblue
Color

How many pink balls were in the bag?
[1]
A bag has 10 red balls and 7 blue balls. You take out 1 ball.
What is the probability of getting a red ball?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 30, a 50% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
134
140
151
163
172

What is the probability of the dogs to run 100m in more than 14s?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]