Suppose you cast and keep casting a die until you get either number 5 or 6? What is the probability that you will stop after even number of casts?

Question

Use series to solve.

Answer 1

The probability of stopping after an even number of casts is 1/3. This can be calculated by using the series:
P(even) = 1/6 + 1/6*1/6 + 1/6*1/6*1/6 + ... = 1/3.

Answer 2

Of course the bot's answer makes no sense

I gave a correct solution to this same question about 10 posts below this