Rolling diceDiscrete Mathematics Level 3
Two dice are rolled simultaneously.
This is done repeatedly until at least one die shows a 6, at which point the game is finished.
What is the probability that both dice show a 6 on the last roll?
The probability can be expressed as \(\dfrac ab\) for co-prime positive integers \(a\) and \(b\), find the value of \(a+b\).