Question

I've got a bag containing two different coins: one biased such that the probability it returns heads is 1, and one normal coin (P(H) = 0.5).

1. A coin was randomly picked out of the bag, and a flip resulted in heads. What is the probability that the coin in question is the biased coin with P(H) = 1 ?

2. The same coin is flipped again, and we see heads a second time. Calculate the probability that this coin is the biased coin with P(H) = 1

Answer 1

1. is 2/3

Answer 2

2. is 4/5

Answer 3

bayes formula, or counting will work for the first one

Answer 4

3. The same coin is flipped yet once more, and it came up tails! What is the probability that it is the biased coin?

Answer 5

0

Answer 6

lol

Answer 7

lol

Answer 8

you need a formula?

Answer 9

nope. this question is pretty easy. I've got a harder one coming up.