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Question

# An experiment results in four possible out comes S1,S2,S3&S4 with probabilities p1,p2,p3&p4, respectively. Which one of the following probability assignment is possible[Assume S1,S2,S3,S4 are pair wise exclusive]

A
p1=0.25,p2=0.35,p3=0.10,p4=0.05
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B
p1=0.40,p2=0.20,p3=0.60,p4=0.20
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C
p1=0.30,p2=0.60,p3=0.10,p4=0.10
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D
p1=0.20,p2=0.30,p3=0.40,p4=0.10
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Solution

## The correct option is C p1=0.20,p2=0.30,p3=0.40,p4=0.10As the experiment results in only these four possible outcomes, their total of probabilities should be equal to 1 From the given options, only p1=0.20;p2=0.30;p3=0.40;p4=0.10 when added gives 1.

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