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solve a,b,c PROBLEM 3. Suppose you are playing a round of roulette at a casino, in which the board consists of (1,3,5,7,9) as black numbers,

solve a,b,c

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PROBLEM 3. Suppose you are playing a round of roulette at a casino, in which the board consists of (1,3,5,7,9) as black numbers, {2, 4,6,8, 10) as red numbers, and 0 as a green number. You can choose to bet on red, black, or a specific number besides 0 (you can make multiple bets in a single round). A wheel and a ball is used to randomly uniformly select one of the numbers, and if it lands on your specific number or any number in your chosen color (if you bet red/black) you will win. Note that the green 0 is always a loss. (a) If you bet on 10 and also bet on black in a single round, what is your probability of winning? (b) Given that the ball will select a black number, what is your probability of winning if you bet on 1 and red? (c) Given that the ball will select a number less than or equal to 7, what is your probability of winning if you bet on red

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