Puzzle #09: The cake and the candles
29 June 2019
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From New Scientist #3236, 29th June 2019 [link] [link]
Lady Frederica von Battenberg has baked a long, thin rectangular cake for her daughter Victoria. She has picked two random points on top of the cake on which she has placed two candles.
She hands the cake knife to Victoria, who now proceeds to pick a random point along the length of the cake, and cuts across the cake at that point.
Now that the cake has been cut in two, what is the chance that both pieces of cake have a candle on them?