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?

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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) About Me  (Show Source):
Answer by AnlytcPhil(1806) About Me  (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