Suppose that we have a box that contains two coins: A fair coin: P (H) = P (T) = 0.5. A two-headed coin: P (H) = 1. A coin is chosen at random from the box, i. e. either coin is chosen with probability 1/2, and tossed twice. Conditioned on the identity of the coin, the two tosses are independent. Define the following events: Event A : first coin toss is H. Event B : second coin toss is H. Event C : two coin tosses result in HH. Event D : the fair coin is chosen. For the following statements, decide whether they are true or false. A and B are independent.
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Home » Mathematics » Suppose that we have a box that contains two coins: A fair coin: P (H) = P (T) = 0.5. A two-headed coin: P (H) = 1. A coin is chosen at random from the box, i. e. either coin is chosen with probability 1/2, and tossed twice.