Probability Powerplay
Level 6, 2026-01-11
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 1 and a head?
[1]
You shoot an arrow at a target. You will either score 10 (20% chance), 30 (30% chance), or 60. What average score do you expect to get if you do this many times?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
greenred
Color

Probability of Type

0.60.4
wagonsedan
Type

What is the probability of a car being a green wagon?
[2]
A group of humans did a math test and here are their scores out of 5:
humans

216535
012345
Score

What fraction of the humans score more than 3?
[2]
A group of people did a math test and here are their scores out of 5:
people

Score06
13
21
36
43
5

What is the probability of the people to score less than 4?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.50.5
blueyellow
Color

How many yellow balls were in the bag?
[1]
Roll 144 6-sided dice.
How many times would you expect to get less than 2?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.90.1
purpleorange
Color

How many purple balls were in the bag?
[1]
A bag has 8 red balls, 4 green balls and 5 blue balls. You take out 1 ball.
What is the probability of getting a green ball or a blue ball?
[1]
You roll a 3 sided die and a 8 sided die.
What is the probability of getting 2 on both dice?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.80.2
greenredpink
Color

How many red balls were in the bag?
[1]
The weather forecast says that the chances of rain are 70%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 70%.
What is the probability of getting wet today?
[1]
A bag has 6 red balls and 8 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[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:


0.250.150.10.5
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 4?
[1]
Roll 102 6-sided dice.
How many times would you expect to get anything except 2?
[1]
A bag has 7 balls with number 7 and 6 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 2?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.40.40.2
yellowbluepurple
Color

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