#### A bag contains three coins, one of which has head on both sides, another is a biased coin that shows up heads 90% of the time and the third one is an unbiased coin. A coin is taken out from the bag at random and tossed. If it shows up a head, then the probability that it is the unbiased coin, is : Option 1) Option 2) Option 3) Option 4)

As we learnt in

BAYE'S Theorem -

If E1, E2, E3......En be n mutually exclusive and exhaustive events and A is an event which occurs together with either E1, E2, E3......En from a portion of the sample space S and A be any event then

where S =   and S is sample space.

- wherein

Option 1)

This option is incorrect

Option 2)

This option is incorrect

Option 3)

This option is correct

Option 4)

This option is incorrect