probability question

Question

A and B throw with one dice for a prize of Rs.11 which is to be won by

a player who first throws 6. If A has the first throw, what are their

respective expectations?

Answer 1

A has a chance of 1/6 of throwing a 6 (or any particular number for that matter!). B has an equal chance of throwing a 6. A has the same chance of throwing a 6 on the second throw, as does B. The chance of each individual throw is always 1/6. If, however, the question was collective probability, such as: in 10 throws, what is the chance of throwing two sixes, then we need to apply different reasoning and the chances will be different.