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In: Statistics and Probability

In a pocket, Peter has 3 fair coins (which have one head and one tail on...

In a pocket, Peter has 3 fair coins (which have one head and one tail on each side) and 7 unfair coins (which have heads on both sides). Peter randomly picks a coin from the pocket and flips the coin twice.

(a) What is the probability that a head comes up on both flips?

(b) If it’s known that a head comes up on the first two flips, when Peter flips the coin again, what is the probability that a head comes up on the third flip?

Solutions

Expert Solution

If A and B are events, then Law of Total Probability states that:

More generally, if are events and , then

orchestra answered 2 years ago
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