Probability Powerplay
Level 6, 2026-05-09
A wheel has 7 sections, each a number on it from 1 to 7. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[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:


0.250.20.050.250.25
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 1?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10, a 40% chance of scoring a 40, 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 120 balls in a bag. This is is the probability distribution of their color:


0.10.9
pinkred
Color

How many pink balls were in the bag?
[1]
There are 2 balls in a bag. This is is the probability distribution of their color:


0.50.5
orangeblue
Color

How many orange balls were in the bag?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
orangegreen
Color

Probability of Type

0.40.6
sedanwagon
Type

What is the probability of a car being a green wagon?
[2]
Roll 144 6-sided dice.
How many times would you expect to get more than or equal to 4?
[1]
We asked a group of dogs how many Hot dogs they eat in a week. Here are the results:
dogs

Hot dogs06
14
26
34

What is the probability of the dogs to eat less than 4 Hot dogs in a week?
[2]
Roll 30 6-sided dice.
How many times would you expect to get an ugly number?
[1]
A bag has 6 balls with numbers from 5 to 10. You take out 1 ball.
What is the probability of NOT getting the ball with the number 9?
[1]
A bag has 3 balls with numbers from 4 to 6. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 5?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.60.30.1
greenyellowred
Color

If you choose a random ball from the bag, what is the probability of it not being yellow or red?
[1]
Roll 18 6-sided dice.
How many times would you expect to get anything except 6?
[1]
A wheel has 6 yellow sections and 3 green sections.
What is the probability of getting yellow?
[1]
Flip a coin 4 times.
Each time a Tail comes up you win $2. It costs $8 to play (paid once). How much money would you expect to make altogether?
[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:


0.250.050.250.150.3
12345
Number

What is the probability of rolling a number from 3 to 5?
[1]
An obstacle course has 2 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]
A bag has 5 red balls and 2 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting red for the second ball?
[1]