The form "dice" is plural. The singular form is "die." So you don't roll a dice, you roll a die. (Admittedly, even a lot of native English speakers don't know this!)

python new test framework is required. updated in this fork

I agree.

This looks like a cool problem, but what even does n mean?

Yes, the exercise is misleading, I got one information from the description but the test case suggests that rolling 3 times in a row loses and the rest of the cases win

INPUT: an integer number n>=0

But what is n? Number of sides? Friend's best score?

Why in the example do you need to roll 1 thrice in order to win (or lose)? Doesn't the highest single number win?

Please clarify some of these points, preferrably in description.

Why should it not have been a Fraction ?

Use appropriate datatypes!

But he does not know the probabilities for finding a certain number m.

Make this "But he does not know the probabilities for finding a certain number."

There is no need to introduce a variable name here, let alone a new one that is then never used again.

the probability to get the number n is 1/2^n.

INPUT: an integer number n>=0

Don't give different variables identical names. ( An argument doesn't even need a specified name! )

Fixed.

Return value should be a tuple in python.

In python the function should return a tuple.

Note: ./src/test/java/SwapTest.java uses or overrides a deprecated API.
Note: Recompile with -Xlint:deprecation for details.

this is clever but can overflow.