MathForces: Math Olympiads

# Money date

Author: admin
Problem has been solved: 337 times

Русский язык | English Language

Dima loves unusual coins. He brought 3 coins from his collection to the meeting with Alice, such that for them the probability of a head's is twice as likely as tails. Alice promised that if Dima tosses three coins and they all fall out tails up, then she will go on a date with him. The probability that Alice and Dima will go on a date is representable as an irreducible fraction $\frac {m} {n}$, where $m$ is an integer and $n$ is a natural number. Find the value of $m ^ {5} n ^ {2}$.

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