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Hats and Feathers

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

 

Puzzle ID:#3711
Fun:*** (2.21)
Difficulty:*** (2.84)
Category:Probability
Submitted By:rayneeday***
Corrected By:cnmne

 

 

 



You have five boxes with five hats in each and each hat has five feathers with five colored dots. Now the hats are in a rainbow of color and so are the feathers but the dots are all various random combinations of red, yellow, and blue-green.

What is the probability of getting a hat with only red dots?


Hint

There are only 3 colors, blue-green is a single color.
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