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A coin is tossed twice. If the outcome is at most one tail, what is the probability that both head and tail have appeared? Select the correct answer from above options

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A coin has 2 sides and its sample space S = {H,T} The total number of outcomes = 2. A coin is tossed twice. Let P(A) be the probability of getting at most 1 tail. The sample space of A = {(H,H),(H,T),(T,H)} Let P(B) be the probability of getting a head. The sample space of B = {H} ∴P(B)= 1 2 The probability of getting at most one tail and a head Tip – By conditional probability, P(A/B) = P(A∩B) P(B) where is the probability of occurrence of the event A given that B has already occurred. The probability that both head and tail have appeared:

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