Felipe
11-30-2005, 07:04 PM
NETeller gives away cash prizes when you use your NETpoints to enter the draw. They give you 10pts for each $1 you send to a merchant. 1000pts is equal to $100 given to a merchant. I know this is kind of a freeroll, but I'm going to "assume" that 1000pts = $100. I want to figure out the mathematical expectation for each draw, assuming that the points were equal to "real" money.
There are three draws <ul type="square"> (A) $500 prize for 1000pts (B) $1000 prize for 2500 pts (C) $3000 prize for 5000 pts.[/list]
No. of entrants:<ul type="square"> (A) has 67,514 entrants (B) 25,417 (C) 215,666.[/list]
I used the following formula:
E(x) is mathematical expectation, where x is Draw A,B or C.
P is the probability of winning the draw
Z is the prize
y is the initial investment (points)
so...
E(x) = p (z + y) - y
E(A) = -$99.99
E(B) = -$249.95
E(C) = -$499.98
Did I get it right?
There are three draws <ul type="square"> (A) $500 prize for 1000pts (B) $1000 prize for 2500 pts (C) $3000 prize for 5000 pts.[/list]
No. of entrants:<ul type="square"> (A) has 67,514 entrants (B) 25,417 (C) 215,666.[/list]
I used the following formula:
E(x) is mathematical expectation, where x is Draw A,B or C.
P is the probability of winning the draw
Z is the prize
y is the initial investment (points)
so...
E(x) = p (z + y) - y
E(A) = -$99.99
E(B) = -$249.95
E(C) = -$499.98
Did I get it right?