There are two coins in a bag. for coin 1, p (h) = ½ and for coin 2, p (h) = 1/3. your friend chooses one of the coins at random and tosses it 5 times.
a. what is the probability of observing at least 3 heads?
b. you ask your friend: "did you observe at least 3 heads?". your friend replies, "yes". what is the probability that coin 2 has been chosen?
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