SOLUTION: 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 probab

Question 296589: 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 =
b) No fruit symbols =
c) 3 bells (the jackpot) =
d) No bells =
e) At least one bar (An automatic loser)=
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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)
e) At least one bar (An automatic loser)= 1 - P(no bars)
= 1 - 3C0(0.4)^0*0.6^3 = 1-0.6^3 = 0.784
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Cheers,
Stan H.

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