5. A jar contains 60 coins. Of these, 3 are 2-headed and the rest are regular coins with heads probability 1/2. A coin is selected at random. (a) What is the probability it is 2-headed? (b) The coin...

Extracted text: 5. A jar contains 60 coins. Of these, 3 are 2-headed and the rest are regular coins with heads probability 1/2. A coin is selected at random. (a) What is the probability it is 2-headed? (b) The coin selected is tossed 3 times and lands heads all 3 times. Given that information, what is the probability the coin is 2-headed? (a) (b)