Posted by **Traci** on Thursday, April 7, 2011 at 1:34am.

Sarah draws a card from a deck of 52 cards. She receives 40 cents for a heart, 50 cents for an ace, and 90 cents for the ace of hearts. The cost of a draw is 15 cents. How much will Sarah lose if she plays this game?

- Prob. Math -
**Reiny**, Thursday, April 7, 2011 at 8:31am
She wins if

1. she draws a heart, but not the ace of heart (40 cents)

Prob = 12/52

2. she draws an ace , but not the ace of heart (50 cents)

prob = 3/52

3. she draws the ace of hearts ( 90 cents)

prob = 1/52

expected return

= (12/52)(40) + (3/52)(50) + (1/52)(90)

= 13.8 cents

so if she pays 15 cents to play the game ........

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