Suppose you are going to play chess against two people: one person is really good, one person is quite bad. You are going to play three games and you always have to alternate your opponents. Namely, you can either choose to play the opponents in the order
Good, Bad, Good,
or you can play the opponents in the order
Bad, Good, Bad.
Which of these two play sequences gives you the optimal chance of winning two consecutive games?
If you think you have the answer comment below, tweet it to us @PodcastMathsAt, or email us at podcastmaths@gmail.com.
The answer will be posted next week, or you can listen to the answer in our Interstellar podcast
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