Question 7 Diane is on a game show and she has made it to the very Not yet final round where she will have an opportunity to win a answered prize. For the final round, there are three doors and Marked out of behind each door are eight suitcases. Each suitcase 1.00 either contains a money prize or is empty. Behind the first Flag door 3 of the suitcases are empty, behind the second door question 7 of the suitcases are empty and behind the third and final door 4 of the suitcases are empty. Diane must choose a door, and once she has chosen a door she can open two of the eight suitcases and keep any prize money that she finds. Rather than just choosing among the three doors completely randomly, based on how previous contestants have performed in this final round, Diane decides to choose from the first, second and third doors with probabilities 0.51, 0.15 and 0.34, respectively. Once she has chosen a door, Diana decides to randomly open two of the eight suitcases. Find the probability that Diane goes home empty-handed. Answer: O W