An experiment results in four possible out comes $S_{1}, S_{2}, S_{3} & S_{4}$ with probabilities $p_{1}, p_{2}, p_{3} & p_{4}$ , respectively. Which one of the following probability assignment is possible
[Assume $S_{1}, S_{2}, S_{3}, S_{4}$ are pair wise exclusive]

p_{1} = 0.25, p_{2} = 0.35, p_{3} = 0.10, p_{4} = 0.05

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p_{1} = 0.40, p_{2} = - 0.20, p_{3} = 0.60, p_{4} = 0.20

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p_{1} = 0.30, p_{2} = 0.60, p_{3} = 0.10, p_{4} = 0.10

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p_{1} = 0.20, p_{2} = 0.30, p_{3} = 0.40, p_{4} = 0.10

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Solution

The correct option is C $p_{1} = 0.20, p_{2} = 0.30, p_{3} = 0.40, p_{4} = 0.10$
As the experiment results in only these four possible outcomes, their total of probabilities should be equal to $1$
From the given options, only $p_{1} = 0.20; p_{2} = 0.30; p_{3} = 0.40; p_{4} = 0.10$ when added gives $1$ .

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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]

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.

An experiment results in four possible out comes $S_{1}, S_{2}, S_{3} & S_{4}$ with probabilities $p_{1}, p_{2}, p_{3} & p_{4}$ , respectively. Which one of the following probability assignment is possible
[Assume $S_{1}, S_{2}, S_{3}, S_{4}$ are pair wise exclusive]