In a game, a man wins Rs. 100 if he gets 5 or 6 on a throw of a fair die and loses Rs. 50 for getting any other number on the die. If he decides to throw the die either till he gets five or a six or to a maximum of three throws, then his expected gain/loss (in rupees) is

\({\rm{\;}}\frac{{400}}{3}{\rm{\;gain}}\)

\(\frac{{400}}{3}{\rm{\;loss}}\)

\({\rm{\;}}\frac{{400}}{9}{\rm{\;loss}}\)

In a game, a man wins Rs. 100 if he gets 5 or 6 on a throw of a fair d

1.	In a game, a man wins Rs. 100 if he gets 5 or 6 on a throw of a fair die and loses Rs. 50 for getting any other number on the die. If he decides to throw the die either till he gets five or a six or to a maximum of three throws, then his expected gain/loss (in rupees) is
A.	\(\frac{{400}}{3}{\rm{\;loss}}\)
B.	\({\rm{\;}}\frac{{400}}{9}{\rm{\;loss}}\)
C.	0
D.	\({\rm{\;}}\frac{{400}}{3}{\rm{\;gain}}\)
Answer» D. \({\rm{\;}}\frac{{400}}{3}{\rm{\;gain}}\)

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In a game, a man wins Rs. 100 if he gets 5 or 6 on a throw of a fair die and loses Rs. 50 for getting any other number on the die. If he decides to throw the die either till he gets five or a six or to a maximum of three throws, then his expected gain/loss (in rupees) is

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