Math Probability PLEASE HELP!!! :)?!
Question: Please show work/explanation!!! thanks
A gambler has a fair coin and a two-headed coin in his pocket. He pulls out one of the coins at random and, when he flips it, it comes up heads.
(a) What is the probability that it's the fair coin?
Suppose he flips the same coin a second time and again it shows heads.
(b) What is the probability that it's the fair coin now?
Suppose that he flips the same coin a third time and it shows heads.
(c) What is the probability that it's the fair coin now?
Answers: Please show work/explanation!!! thanks
A gambler has a fair coin and a two-headed coin in his pocket. He pulls out one of the coins at random and, when he flips it, it comes up heads.
(a) What is the probability that it's the fair coin?
Suppose he flips the same coin a second time and again it shows heads.
(b) What is the probability that it's the fair coin now?
Suppose that he flips the same coin a third time and it shows heads.
(c) What is the probability that it's the fair coin now?
50%. He has an equal chance of picking either coin out of his pocket to start.
Once he flips it and it comes up heads, it is still a 50% chance it is either coin. He could flip it 20 times in a row, and if it comes up heads every time, the chances are still 50%
1/2
1/4
1/8
i would say it would be a 50% chance for all answers.
he only took it out of his pocket once so the probability would stay the same
1/2 every time. Think about roulettes. It may come up black everytime for 50 times, yet the probability that it comes up red is still 1/2. So the answer to your question is 1/2.