Three events

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

Three events RR, SS and TT are mutually exclusive and form an exhaustive set for a random experiment. A student records P(R)=0.25P(R)=0.25, P(S)=0.55P(S)=0.55 and P(T)=0.30P(T)=0.30. Which probability axiom or rule is violated by these recorded values? (a) Non-negativity\text{Non-negativity} (b) Countable additivity\text{Countable additivity} (c) Normalization (total probability equals 1)\text{Normalization (total probability equals 1)} (d) None, the values are valid\text{None, the values are valid}

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