1. You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second. playing cards (a) Are the outcomes on the two cards independent? Why?Yes. The events can occur together.Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card. No. The events cannot occur together.No. The probability of drawing a specific second card depends on the identity of the first card. (b) Find P(diamond on 1st card and heart on 2nd). (Enter your answer as a fraction.) (c) Find P(heart on 1st card and diamond on 2nd). (Enter your answer as a fraction.) (d) Find the probability of drawing a diamond and a heart in either order. (Enter your answer as a fraction.)

2.In the Cash Now lottery game there are 19 finalists who submitted entry tickets on time. From these 19 tickets, three grand prize winners will be drawn. The first prize is one million dollars, the second prize is one hundred thousand dollars, and the third prize is ten thousand dollars. Determine the total number of different ways in which the winners can be drawn. (Assume that the tickets are not replaced after they are drawn.)