SOLUTION: On tossing a die and getting #1 if you gain RS 100, gain RS 200 in getting #2 ,and so on What is the EXPECTED total gain if you throw the die 100 times?

Algebra.Com
Question 1011182: On tossing a die and getting #1 if you gain RS 100, gain RS 200 in getting #2 ,and so on What is the EXPECTED total gain if you throw the die 100 times?
Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

Answer by AnlytcPhil(1807)   (Show Source): You can put this solution on YOUR website!
A die has six sides. Therefore: 

You will gain RS 100 about 1/6th of the time.
You will gain RS 200 about 1/6th of the time.
You will gain RS 300 about 1/6th of the time.
You will gain RS 400 about 1/6th of the time.
You will gain RS 500 about 1/6th of the time.
You will gain RS 600 about 1/6th of the time.

So your expectation is

1/6th of 100 is 16 2/3 times you will gain RS 100, that's RS 1666.67.
1/6th of 100 is 16 2/3 times you will gain RS 200, that's RS 3333.33.
1/6th of 100 is 16 2/3 times you will gain RS 300, that's RS 5000.00
1/6th of 100 is 16 2/3 times you will gain RS 400, that's RS 6666.67.
1/6th of 100 is 16 2/3 times you will gain RS 500, that's RS 8333.33.
1/6th of 100 is 16 2/3 times you will gain RS 600, that's RS 10000.00 

Answer: RS (1666.67+3333.33+5000.00+6666.67+8333.33+10000.00) = RS 35000

Edwin
RELATED QUESTIONS

A shopkeeper buys 100 pens for Rs 200 and sells 20 of them at a gain of 10%. At what gain (answered by mathstutor494,richwmiller)
a shopkeeper bought 100 chickens for rs.8000 and sold 20 of them at a gain of 5%.At how... (answered by Edwin McCravy)
A shopkeeper expects a gain of 22 1/2 % on his cost price. If in a week, his sale was of... (answered by mananth)
[ abdul purchases Rs.50 worth of lemons at 3 lemons for 1 rupee, and sells them at 5... (answered by TimothyLamb)
On selling a chair at 7% loss and a table at 17% gain, a man gains Rs.296. If he sells... (answered by mananth)
According to the insurance company, the probability that a woman will survive one year is (answered by edjones)
A man sold two Rs 1000 each.on one he gain 30% and the other he loss 20%.find the overall (answered by CubeyThePenguin,ikleyn,greenestamps)
A Fan is sold for Rs 1288. If the gain is 1/6 of the cost price of the fan, what is the... (answered by pakhi)
A state lottery ticket costs $1. The probability of winning $1,000,000 is 0.0000001, the (answered by Fombitz,Boreal,robertb)