Question: Every Skywalker serves either the light side or the dark side. The first Skywalker serves the dark side. For n ? 2, the nth Skywalker
Every Skywalker serves either the light side or the dark side.
The first Skywalker serves the dark side.
For n ? 2, the nth Skywalker serves the same side as the (n ? 1)st Skywalker with probability 1/4, and the opposite side with probability 3/4.
Let dn be the probability that the nth Skywalker serves the dark side.
(a) Express dn with a recurrence equation and sufficient base cases.
(b) Give a simple closed formula for dn
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