Answer:
The probability that there is a silver coin in the other drawer is

Explanation:
Given : Each of 2 cabinets identical in appearance has 2 drawers. Cabinet A contains a silver coin in each drawer, and cabinet B contains a silver coin in one of its drawers and a gold coin in the other. A cabinet is randomly selected, one of its drawers is opened, and a silver coin is found.
To find : What is the probability that there is a silver coin in the other drawer?
Solution :
Let A be the event that cabinet A is chosen.
Let B be the event that cabinet B is chosen
Let E be the event that silver coin is chosen.
Each of 2 cabinets identical in appearance has 2 drawers.
So,

Cabinet A contains a silver coin in each drawer,
i.e.

Cabinet B contains a silver coin in one of its drawers and a gold coin in the other,
i.e.

The probability that there is a silver coin in the other drawer is given by,
Applying Bayes theorem,





Therefore, the probability that there is a silver coin in the other drawer is
