How to solve questions regarding drawing cards from a standard deck of 52?

Question

Mark draws one card from a standard deck of 52. He receives $ 0.50 for a heart, $ 0.65 for a jack and $ 0.85 for the jack of hearts. How much should he pay for one draw?

This is how i attempted to solve the problem (NOTE: according to rederly/webwork I am wrong)

heart = 13/52

jack = 4/52

jack of hearts = 1/52

(.50*(13/52)) + (.65*(4/52)) + (.85*(1/52))

Answer 1

So the expected value you have calculated is

M = 0.5/4 + 0.65/13 + 0.85/52 =

0.19134615384615384615384615384615

However the financial objective is not stated!!!

How much does he want to get in return or break even

in the long run?

Let N be this number...

N - M