Problem 3. (5 points) Bobby will play one of two opponents ("Opponent A" or "Opponent B") in a chess game. If Bobby plays Opponent A, Bobby wins 6% of the time (and does not win the rest of the time). If Bobby plays Opponent B, Bobby wins 15.5% of the time (and does not win the rest of the time). Suppose that Bobby plays Opponent A one out of every 5 games. Use this information to answer the following questions. a. Complete the following contingency table. Please enter your answers as probabilities, not percentages or counts. Do NOT round any values in the table! Note: you must complete at least the table to receive any marks on this question. Event Opponent A Opponent B Row Totals Bobby Wins Bobby Does Not Win Column Totals b. Suppose Bobby wins the chess game. What is the probability that he played Opponent A? Answer: |Round to at least FIVE digits after the decimal if necessary. c. What is the probability that Bobby wins and that he plays Opponent B? Answer: Round to at least FIVE digits after the decimal if necessary. d. What is the probability that Bobby does not win or that Bobby plays Opponent B? Answer: Round to at least FIVE digits after the decimal if necessary. 16"C Mostly cloudy HOLOCBA O W T ENG US