Question

A slot machine has 3 wheels; each wheel has 20 symbols; the three wheels are independent of each other. Suppose that the middle wheel has 11 cherries among its 20 symbols, and the left and right wheels have 2 cherries each.

a. You win the jackpot if all three wheels show cherries. What is the probability of winning the jackpot?

b. What is the probability that the wheels stop with exactly 2 cherries showing among them?

Answer #1

Slot machines are now video games, with winning determined by
electronic random number generators. In the old days, slot machines
were like this: you pull the lever to spin three wheels; each wheel
has 25 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 16 bells among its 25 symbols, and the
left and right wheels have 1 bell each.
(a) You win the...

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A slot machine has 3 reels each with 7 symbols (including 1
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A slot machine has 4 reels each with 5 symbols (including 1
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A slot machine has 3 dials. Each dial has 30 positions, one of
which is "Jackpot". To win the jackpot, all three dials must be in
the "Jackpot" position. Assuming each play spins the dials and
stops each independently and randomly, what are the odds of one
play winning the jackpot?
1. 1/30 = 0.03 or 3%
2. 3/(30+30+30) = 3/90 = 0.33 or 33%
3. 3/(30×30×30) = 3/27000 = 0.0001 or 0.01%
4. 1/(30×30×30) = 1/27000 = 0.00003 or...

Just question E
Because gambling is big business, calculating the odds of a
gambler winning or losing in every game is crucial to the financial
forecasting for a casino. A standard slot machine has three wheels
that spin independently. Each wheel has 10 equally likely symbols
that can appear: 4 bars, 3 lemons, 2 cherries, and a bell. If you
play once, what is the probability that you will get:
a) 3 lemons?
Explain your reasoning (don’t just put...

1. A particular slot machine in a casino has payouts set so that
the probability of winning money in one play of the slot machine is
29%. Each game on the slot machine is independent of all other
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2. In a short string...

At the entrance to a casino, there are three slot machines.
Machine A is programmed so that in the long run it will produce
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Machine B is programmed so that in the long run it will produce
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Machine C is programmed so that in the long run it will produce
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If we play each machine once, what is the...

The game of roulette involves spinning a wheel with 38 slots: 18
red, 18 black, and 2 green. A ball is spun onto the wheel and will
eventually land in a slot, where each slot has an equal chance of
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A roulette wheel has 38 numbers. Eighteen of the numbers are
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One roulette bet is a bet on black—that the ball will stop on one
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