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Question about Probability of Complementary Events

Mathematics

Originais Teachy

Probability of Complementary Events

Medium

(Originais Teachy 2023) - Question Medium of Mathematics

Joana and Pedro are competing in a coin tossing tournament. They have a normal coin and another one that has heads on both sides. First, Joana chooses one of the coins without looking and makes two tosses, noting the sequence of the faces (heads or tails). Then, Pedro tries to guess which coin Joana used, based on the noted sequence. Consider the following items: a) Calculate the probability of Joana getting 'heads-heads' with the normal coin and the two-headed coin. b) If Joana got 'heads-heads', what is the probability of Pedro guessing which coin she used? c) In general, what is the probability of Pedro guessing the coin used by Joana, regardless of the noted sequence.

Answer sheet:

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