Probability Powerplay
Level 6, 2026-03-25
We asked a group of dogs how many Hot dogs they eat in a day. Here are the results:
dogs

Hot dogs01
1
22
32

What fraction of the dogs eat exactly 2 Hot dogs in a day?
[2]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.90.1
redgreen
Color

How many red balls were in the bag?
[1]
You shoot an arrow at a target. You will either score 10 (10% chance), 40 (30% chance), or 60. What average score do you expect to get if you do this many times?
[1]
Roll 18 6-sided dice.
How many times would you expect to get an ugly number?
[1]
Roll 132 6-sided dice.
How many times would you expect to get anything except 2?
[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:


0.50.10.20.2
12345
Number

What is the probability of rolling a number that is smaller than 2?
[1]
A group of people did a math test and here are their scores out of 5:
people

61345
012345
Score

What fraction of the people score exactly 1?
[2]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
yellowgreenred
Color

How many red balls were in the bag?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.80.10.1
pinkpurpleorange
Color

If you choose a random ball from the bag, what is the probability of it being purple or pink?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
orangepink
Color

Probability of Type

0.90.1
wagonsedan
Type

What is the probability of a car being a pink wagon?
[2]
A bag has 6 balls with numbers from 5 to 10. You take out 1 ball.
What is the probability of getting a ball with a number more than 9?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.20.8
pinkgreen
Color

Probability of Type

1
sedanwagon
Type

What is the probability of a car being a green sedan?
[2]
An obstacle course has 1 Fences and 2 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]
A bag has 5 balls with numbers from 4 to 8. You take out 1 ball.
What is the probability of NOT getting the ball with the number 8?
[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:


0.050.250.150.050.5
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
Flip a coin 10 times.
Each time a head comes up you win $4 and with each tail you lose $4. It costs $12 to play (paid once). How much money would you expect to make altogether?
[1]