Question 48
Two candidates took part in an election with $p+q$ voters. Candidate $A$ received $p$ votes and candidate $B$ received $q$ votes, with $p\gt q$. During the count, only one vote at a time is recorded on a board. Let $r$ be the probability that the number associated with candidate $A$ on the board is always greater than the number associated with candidate $B$ throughout the whole count.
a) Determine the value of $r$ if $p=3$ and $q=2$.
b) Determine the value of $r$ if $p=1010$ and $q=1009$.
a) Determine the value of $r$ if $p=3$ and $q=2$.
b) Determine the value of $r$ if $p=1010$ and $q=1009$.