Question

Suppose I have either a fair coin or a bent coin, and I don’t know which. The bent coin has a 60\%60% probability of coming up heads.
I throw the coin ten times and it comes up heads 8 times. What is the probability I have the fair coin vs. the probability I have the bent coin?
Assume at the outset there is an equal (.5,.5)(.5,.5) prior probability of either coin.
*Please note that in order to fit the entire formula in the feedback, probability has been abbreviated to "prob."
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Answer 1

Answer:

either a fair coin or a bent coin bent coin has a 60% probability of coming up heads. throw the coin ten times and it comes up heads 8 times.