a) How many microstates correspond to the macrostate 'pictures contain at least one lemon'?
I think it's asking how many different ways lemon can come up out of the 125 possible scenarios.
At first I was thinking 1/5 + 1/5 + 1/5 for .6 of 125 or 75, but I don't think it's right.
b) How many microstates correspond to the macrostate 'two pictures are the same'?
First picture 1/5 * 1/5 it will match = 1/25 + 2/5 it will match one of the first two pictures for 44% * 125 = 55
Really not sure how to do this problem and there is nothing in the textbook explaining this, any help is very much appreciated.
Thank you
First let’s consider the easier problem of determining the probability that all three reels match. First note that our sample space has math22^3/math or 10648 possible events. A standard slot machine has three wheels that spin independently. Each has 10 equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell. If you play once, what is the probability that you will get: a) 3 lemons = (0.3)^3 = 0.027-b) No fruit symbols = (0.5)^3 = 0.125 c) 3 bells (the jackpot) = (0.1)^3 = 1/1000 d) No bells = (999/1000). Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share.
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