MathDB

Morteza and Amir Reza play the following game. First each of them independently roll a dice

100

times in a row to construct a

100

-digit number with digits

1,2,3,4,5,6

then they simultaneously shout a number from

1

100

and write down the corresponding digit to the number other person shouted in their

100

digit number. If both of the players write down

6

they both win otherwise they both loose. Do they have a strategy with wining chance more than

\frac{1}{36}

?
Proposed by Morteza Saghafian

Problem Statement