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Anni [7]
4 years ago
14

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.
Mathematics
1 answer:
topjm [15]4 years ago
3 0

Answer:

2 . True

Step-by-step explanation:

2. The two events are mutually exclusive events. This means that the probabilities on coins 1 and coins 2 are independent on each other. In other words, the probability of the first coin does not affect the probability of the second coin outcome.

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