SOLUTION: A retailer sells only 2 styles of stereos, and experience shows that these are in equal demand. 4 customers in sucession come into the store to order stereos. The retailer is inter

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Question 344603: A retailer sells only 2 styles of stereos, and experience shows that these are in equal demand. 4 customers in sucession come into the store to order stereos. The retailer is interested in their preferences.
a) List the possibilites for preference arrangements among the 4 customes
b)assign proabablities to the sample points
c) Let A denote the event that all 4 customers prefer the same style. Find P(A)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A retailer sells only 2 styles of stereos, and experience shows that these are in equal demand. 4 customers in sucession come into the store to order stereos. The retailer is interested in their preferences.
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Let the stereo styles be h and t
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a) List the possibilites for preference arrangements among the 4 customes
hhhh
thhh
hthh
hhtt
hhht
hhtt
thht
tthh
htht
thth
htth
httt
thtt
ttht
ttth
tttt
----
b)assign proabablities to the sample points
Each has probability 1/16
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c) Let A denote the event that all 4 customers prefer the same style.
Find P(A)
P(A) = 2/16
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Cheers,
Stan H.