In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hearts, you win $50. If you draw 3 black cards, you win $25. For any other draws, you win nothing.

(a) Create a probability model for the amount you win at this game, and find the expected winnings. Also compute the standard deviation of this distribution.
(b) If the game costs $5 to play, what would be the expected value and standard deviation of the net profit (or loss)?
(c) If the game costs $5 to play, should you play this game?

An investor purchases 500 shares of nevada industries common stock for $22.00 per share today. at t = 1 year, this investor receives a $0.42 per share dividend (which is not reinvested) on the 500 shares and purchases an additional 500 shares for $24.75 per share. at t = 2 years, he receives another $0.42 (not reinvested) per share dividend on 1,000 shares and purchases 600 more shares for $31.25 per share. at t = 3 years, he sells 1,000 of the shares for $35.50 per share and the remaining 600 shares at $36.00 per share, but receives no dividends. assuming no commissions or taxes, the money-weighted rate of return received on this investment is closest to: