The Confrontation

Ehud and Benjamin are participating in a public debate. Each one, in turn, presents a question to their opponent. Ehud is chosen to be the first to present a question. A "trick question" is a question to which the opponent has no answer. A contestant who manages to ask a trick question immediately wins the debate. The probability of each of the two contestants finding a trick question (in their turn) is exactly 1/2. It is also known that there is no dependence between the questions. What is the probability of Ehud winning the debate?

Difficulty level (1 very easy - 10 very hard): 3

Topics:
Algebra -> Sequences Probability Theory
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