SOLUTION: 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; eac

Question 1047053: 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 20 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 10 cherries among its 20 symbols, and the left and right wheels have one cherry each.
A). 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. (Use 4 decimal places.)
other symbol on right wheel =
other symbol on left wheel =
ther symbol on middle wheel =
(B) What is the probability that the wheels stop with exactly two cherries showing among them? (Use 3 decimal places.)

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The three ways for two cherries are wheels 12,13,23
12 and 23 have equal probabilities and they are 0.05^0.50*0.95 (the 0.95 is probability of no cherry on last for wheel 12)=0.0238
wheel 13 has probability 0.05*0.50*0.05=0.000125;0.0001
Exactly two is the sum or 0.047 (rounded at end)

RELATED QUESTIONS
Slot machines are now video games, with winning determined by electronic random number... (answered by Boreal)

A casino advertises that it gives 95.7% payback on slot machines, and the balance is... (answered by stanbon)

A casino advertises that it gives a 95.2% payback on slot machines, and the balance (answered by ikleyn)

Personal Budgeting- Jim Lawler spends 28% of his imcom on housing, 15% on food, 11% on... (answered by checkley75)

Research in the gaming industry showed that 10% of all slot machines in the United States (answered by stanbon)

if 15 machines do the work in 105 days then how many days are required for same work by... (answered by Theo)

15 machines working 8 hours a day can produce 360 units in 6 days. If 3 machines are out... (answered by lwsshak3)

A roulette wheel has 18 red slots and 18 black slots numbered alternately with the... (answered by stanbon)

A box of defective video games were accidentally mixed with a box of good video games.... (answered by ewatrrr)