You pay 50 cents to randomly select 6 checkers from a bag. The bag contains 10 red checkers and 8 black checkers. If you get 3 red checkers, then you get $5. If you get 4 red checkers, then you get $7 and if you get 5 red checkers, then you get $10. Otherwise, you get nothing. Find the expected value for this situation.
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