Having multiple workers does not increase or change odds for mining.
I word reword that a bit as having "multiple workers" may not increase your chance but adding multiple workers that result in an increased your hashrate would in fact increase your odds.

Well how about having 5 names for 5 miners does make it easy to figure what miner is working.
But the hashrate is the same as having 1 name for the same 5 miners.
ie 5 s9's
BTCaddy.0001 14th
BTCaddy.0002 14th
BTCaddy.0003 14th
BTCaddy.0004 14th
BTCaddy.0005 14th
add to 70th and 5 names
or
BTCaddy 70th. combines the 5 miners Hashrates
both cases 70th
both cases equal shot to win
but the 5 name case reveals issues far better
than the 1 name case.