Problem

Most likely coin-toss sequence. In Parade Magazine’s (Nov. 26, 2000) column “Ask Marilyn,”...

Most likely coin-toss sequence. In Parade Magazine’s (Nov. 26, 2000) column “Ask Marilyn,” the following question was posed: “I have just tossed a [balanced] coin 10 times, and I ask you to guess which of the following three sequences was the result. One (and only one) of the sequences is genuine.”

1. H H H H H H H H H H


2. H H T T H T T H H H


3. T T T T T T T T T T

Marilyn’s answer to the question posed was “Though the chances of the three specific sequences occurring randomly are equal ... it’s reasonable for us to choose sequence (2) as the most likely genuine result.” Do you agree?

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