SOLUTION: Two coins are available, one is fair and other is two headed. Choose a coin and toss it once; assume that unbiased coin is chosen with probability 3/4 give that the outcome is head

Question 1184301: Two coins are available, one is fair and other is two headed. Choose a coin and toss it once; assume that unbiased coin is chosen with probability 3/4 give that the outcome is head. The probability that the two headed coin was chosen is:
A- 3/5
B- 2/5
C- 1/5
D- 2/7
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Correct option is:

Let denotes fair coin.
denotes two headed,
denotes head occurs

.......(By Baye's theorem)
=
=
=
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Answer by ikleyn(52858)   (Show Source): You can put this solution on YOUR website!
.

The @MathLover1 solution is copied from     (or inspired by)
https://www.toppr.com/ask/en-us/question/two-coins-are-available-one-fair-and-the-other-twoheaded/

without making a reference.

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