Q2 Problem 2 5 Points In a sports tournament, each team needs to play two games before going to the quarter-finals. Suppose a team can win the first game with probability 0.8. The team can win the second game with probability 0.6 or 0.3 depending on whether they win or lose in the first game respectively. Given that they won the second game, what is the probability that they won the first game? Enter your answer here Please select file(s) Select file(s) Save Answer Q3 Problem 3 3 Points In a game of cards you win $1 if you draw a heart, $5 if you draw an ace (including the ace of hearts), $10 if you draw the king of spades and nothing for any other card you draw. Let X be your winnings, then find the expectation of X. Enter your answer here