Ahat contains n coins, f of which are fair, and b of which are biased to land heads with probability 2/3. a coin is drawn from the hat and tossed twice. the first time it lands heads, and the second time it lands tails. given this information, what is the probability that it is a fair coin?

Step-by-step explanation:

Given that a hat contains n coins, f of which are fair, and b of which are biased to land heads with probability 2/3

A coin is drawn from the hat and tossed twice. The first time it lands heads, and the second time it lands tails.

There are two possibilities.  Either fair coin is drawn or biased is drawn.

Let A1 = I coin drawn and A2 = II coin is drawn.

B= the first toss lands head and II tails.

Prob it is a fair coin =

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

step-by-step explanation: