Slot machines are now video games, with outcomes determined by random number generators. in the old days, slot machines were like this: you pull the lever to spin three wheels; each wheel has 2020 symbols, all equally likely to show when the wheel stops spinning; the three wheels are independent of each other. suppose that the middle wheel has nine cherries among its 2020 symbols, and the left and right wheels have one cherry each. (a) you win the jackpot if all three wheels show cherries. what is the probability of winning the jackpot? 3×(0.45)×(0.05)23×(0.45)×(0.05)2 (0.05)×(0.45)2(0.05)×(0.45)2 (0.45)×(0.05)2(0.45)×(0.05)2 (0.05)2(0.05)2 (b) there are three ways that the three wheels can show two cherries and one symbol other than a cherry. find the probability of each of these ways. (0.05)×(0.45)×(0.95), (0.55)×(0.95)2, (0.95)×(0.05)×(0.55)(0.05)×(0.45)×( 0.95), (0.55)×(0.95)2, (0.95)×(0.05)×(0.55) (0.05)×(0.45)×(0.95), (0.05)2×(0.55), (0.45)×(0.05)×(0.95)(0.05)×(0.45)×( 0.95), (0.05)2×(0.55), (0.45)×(0.05)×(0.95) (0.95)2×(0.45), (0.55)×(0.05)2, (0.95)2×(0.55)(0.95)2×(0.45), (0.55)×(0.05)2, (0.95)2×(0.55) (0.95)2×(0.45), (0.55)×(0.05)2, (0.95)2×(0.45)(0.95)2×(0.45), (0.55)×(0.05)2, (0.95)2×(0.45) (c) what is the probability that the wheels stop with exactly two cherries showing among them? 0.023150.02315 0.5040.504 0.0441250.044125 0.4987