Suppose someone gives you 13 to 4 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win $13 if you succeed and you lose $4 if you fail. What is the expected value of this game to you? Should you expect to win or lose the expected value in the first game? What can you expect if you play 200 times? Explain. (The table will be helpful in finding the required probabilities.)

Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5?

What is coefficient of the term of degree of degree 5 in the polynomial below