Firstly, let's break down the question and calculate the probability of getting a bell symbol on each wheel:
1. There are a total of 20 symbols on each wheel. For the left and the right wheels, only 1 out of every 20 symbols is a bell. So, the probability (P) of a bell symbol on these two wheels is 1 out of 20, or, in decimal form, P = 1/20 = 0.05.
2. For the middle wheel, there are nine bell symbols. Therefore, the probability of a bell symbol appearing on the middle wheel is 9 out of 20, or, in decimal form, P = 9/20 = 0.45.
Once we have these probabilities, we can calculate the overall probability of winning the jackpot.
Since the three wheels are independent, the final probability of winning the jackpot can be found by multiplying the individual probabilities:
P(jackpot) = P(left wheel) * P(middle wheel) * P(right wheel)
Substituting the numbers we calculated earlier into this equation:
P(jackpot) = 0.05 (left wheel) * 0.45 (middle wheel) * 0.05 (right wheel)
Computation of the above equation gives the probability of hitting the jackpot as:
P(jackpot) = 0.001125 or 0.1125%
Therefore, the chance of winning the jackpot in this slot machine game is quite slim, at only about 0.1125%.