Expectations and Distributions Anne and Bridget

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Investigation:
This is not an experiment question as such, it's more of a puzzle - a bit of fun with expectations and spreadsheets.

Ann and Bridget play a game in which they take it in turns to throw an unbiased six-sided die.

The first woman to throw a '6' wins the game.

Ann is first to throw.

First try to solve the exam question associated with this game, found on the 2nd tab of the spreadsheet.

Secondly, can you add the formulae in column O that model E(m,n) - the expected number of times that the game will terminate after m throws of the dice, given that a total of n games have been played?

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