TOT 101 1985 Autumn J5 two throw coins.10-11 times, more heads
Source:
August 26, 2019
combinatoricsprobability
Problem Statement
Two people throw coins. One throws his coin times, the other throws his times . What is the probability that the second coin fell showing "heads" a greater number of times than the first?(For those not familiar with Probability Theory this question could have been reformulated thus : Consider various arrangements of a digit number in which each digit must be a " " or a "" . Among all such numbers what fraction of them will have more occurrences of the digit "" among the last digits than among the first ?)(S. Fomin , Leningrad)