A friend proposes a gamble to you. You roll 2 fair, six-sided dice, and add up the results of each die to find your total number. If your roll totals a 6 or 8, your friend pays you $30. If you roll any other total, you pay your friend $10. What is your expected payoff from playing this game 100 times?.

An agent in another firm sold one of your listings for $280,000. Gross commission is 7%. MLS fee is 15%. Your broker gets 40%, the remainder goes to the agents. If an agent from another agency sells the property, the broker split is 50/50 between the two brokers. If sold by another agent from your firm, the selling agent gets 60% in listing agent's firm. Find your commission. Find your commission is you sell your listing.

The firm you founded currently has 13 million​ shares, of which you own 7 million. You are considering an IPO where you would sell 3 million shares for $24 each. If all of the shares sold are from your​ holdings, how much will the firm​ raise? What will be your percentage ownership of the firm after the​ IPO?

A grab bag contains 12 packages worth $.80 each, 15 packages worth $.40, and 25 packages worth $.30. Would it be worth playing if you had to pay $.50 to choose a package? (Not handwritten)

The firm you founded currently has 16 million​ shares, of which you own 5 million. You are considering an IPO where you would sell 2 million shares for $22 each. If all of the shares sold are primary​ shares, how much will the firm​ raise? What will be your percentage ownership of the firm after the​ IPO?