A die is thrown, a man C gets a prize of Rs.5 if the die turns up 1 and gets a prize of Rs.3 if the die turns up 2, else he gets nothing, A man A whose probability of speaking the truth is 12 tells C that the die has turned up 1 and another man B whose probability of speaking the truth is 23 tells C that the die has turned up 2. Find the expectation value of C.

A die is thrown, a man C gets a prize of Rs.5 if the die turns up 1 an

1.	A die is thrown, a man C gets a prize of Rs.5 if the die turns up 1 and gets a prize of Rs.3 if the die turns up 2, else he gets nothing, A man A whose probability of speaking the truth is 12 tells C that the die has turned up 1 and another man B whose probability of speaking the truth is 23 tells C that the die has turned up 2. Find the expectation value of C.
Answer» A die is thrown, a man C gets a prize of $R s . 5$ if the die turns up $1$ and gets a prize of $R s . 3$ if the die turns up $2$ , else he gets nothing, A man A whose probability of speaking the truth is $\frac{1}{2}$ tells C that the die has turned up $1$ and another man B whose probability of speaking the truth is $\frac{2}{3}$ tells C that the die has turned up $2$ . Find the expectation value of C.