A Game of Risk
C_K_Yang czp001 liuguangxi a_forsteri Burloq abcd eulerscheZahl Min_25 smutley llhuii C3PO Philippe_57721 Apprentice56 kumaus faust gerrob zilet hallvabo Mart mathpseudo sinan hervas benito255 lesnik7 Caesum clytorock Buri dloser nielkh elasolova
Public  06/07/14  12xp  Probability  56.0% 
Two friends, Arya and Bran are being held captive in separate places. They request a trial by game from their captivators.
Here is the deal: Arya has to choose a random number between 1 and 101010101(inclusive). Bran has to choose also but between 1 and 303030303(inclusive). There is no possible communication between them and they will only be freed if the sum of their numbers is odd. Otherwise they are doomed forever.
What is the probability of them being freed? Give the answer as an irreducible fraction.
Here is the deal: Arya has to choose a random number between 1 and 101010101(inclusive). Bran has to choose also but between 1 and 303030303(inclusive). There is no possible communication between them and they will only be freed if the sum of their numbers is odd. Otherwise they are doomed forever.
What is the probability of them being freed? Give the answer as an irreducible fraction.
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