In a game, a man wins Rs. 100 if he gets 5 of 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 a five or a six or to a maximum of three throws, then his expected gain/ loss (in rupees) is |
|||

(a) |
gain |
(b) |
loss |

(c) |
0 |
(d) |
1oss |

In a game, a man wins Rs. 100 if he gets 5 of 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 a five or a six or to a maximum of three throws, then his expected gain/ loss (in rupees) is |
|||

(a) |
gain |
(b) |
loss |

(c) |
0 |
(d) |
1oss |

1 Answer

127 votes

Expected Gain/ Loss =

= w × 100 + Lw (–50 + 100) + L^{2}w (−50−50 + 100) + L^{3} (–150)

= × 100 + (50) + (0) + (−150) = 0

here w denotes probability that outcome 5 or 6 ( w = )

here L denotes probability that outcome

1, 2, 3, 4 (L= )

127 votes

127