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A roulette wheel (the American version) consists of 38 equally likely numbers, 0 through 36 and 00. Of these, 18 numbers are red, 18 are black, and 2 are green (0 and 00). You are given $20 and told that you must pick one of two wagers: (1) Bet $20 on number 32, If the spin results in 32, you win $300 and also get back your $20 bet. If any other number comes up. you lose your $20 or (2) Bet $20 on black. If the spin results in any one of the black numbers, you win $20 and also get back your $20 bet If any other color comes up, you lose your $20. Complete parts a through c below, a. Suppose that you care most about the chance of winning. Without doing any calculation, which wager would you prefer? Explain why. A. Wager (1): because the chance of winning in wager (1) is more than the chance of winning in wager (2) O B. Wager (2): because the chance of winning in wager (2) is less than the chance of winning in wager (1) C. Wager (2); because the chance of winning in wager (2) is more than the chance of winning in wager (1). X D. Wager (1); because the chance of winning in wager (2) is less than the chance of winning in wager (2). b. Let the random variable X = profit. Find the probability distribution of X for the bet in (1) and for the bet in (2) Find the probability distribution of X for the bet in (1). (Type integers or simplified fractions.) Profit x $300 -$20 37 Probability P(x) 38 38 Find the probability distribution of X for the bet in (2) (Type integers or simplified fractions.) Profit x $20 -$20 Probability P(x) O Help Me Solve This View an Example Get More Help . Clear All Check