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A player tosses a coin and score one poi...

A player tosses a coin and score one point for every head and two points for every tail that turns up. He plays on until his score reaches or passes n. `P_(n)` denotes the probability of getting a score of exactly n.
The value of `P_(n)+(1//2)P_(n-1)` is equal to

A

`p_(3)=(1)/(2)`

B

`p_(n)=(1)/(2)p_(n-1)+(1)/(4)p_(n-2)`.

C

`p_(4)=(11)/(16)`

D

`p_(n)=(1)/(2)(p_(n-1)+p_(n-2))`.

Text Solution

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The correct Answer is:
C, D
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