Probability Powerplay
Level 6, 2026-10-21
A wheel has 6 sections, each has a reward in dollars, from $1 through to $6.
What prize do we expect to get if we spin the wheel?
[1]
A bag has 6 red balls, 7 green balls and 5 blue balls. You take out 1 ball.
What is the probability of getting a red ball?
[1]
Roll 2 6-sided dice.
What is the probability of getting a 3 on both dice?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are less than 3?
[1]
Flip a coin 18 times.
Each time a Tail comes up you win $2. It costs $28 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 12 6-sided dice.
How many times would you expect to get an even number?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.10.8
purplepinkgreen
Color

If you choose a random ball from the bag, what is the probability of it being purple or pink?
[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:


0.250.150.6
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
134
141
154
160
172

What fraction of the boys run 100m in exactly 16s?
[2]
The weather forecast says that the chances of rain are 50%. Your chance of being outside today is 40%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
blueorange
Color

Probability of Type

0.50.5
sedanwagon
Type

What is the probability of a car being a orange sedan?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 5?
[1]
There are 16 balls in a bag. This is is the probability distribution of their color:


0.250.75
orangegreen
Color

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

444152
012345
Score

What is the probability of the humans to score less than 5?
[2]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.30.7
orangeredblue
Color

How many blue balls were in the bag?
[1]
The chances of feeling like icecream are 80%. 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:


0.60.4
orangeyellowred
Color

If you choose a random ball from the bag, what is the probability of it not being yellow?
[1]