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Probability

Probability

IP 4

Events \(A,B,C\) are pairwise mutually exclusive and exhaustive.
\[P(A)=2x,\qquad P(B)=3x,\qquad P(C)=x+0.1.\]

  1. Find \(x\).

  2. Find all three probabilities.

  3. Find \(P(A\cup C)\).

Solution:

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Answer:(a) \(x=0.15\). (b) \(P(A)=0.30,\ P(B)=0.45,\ P(C)=0.25\). (c) \(0.55\).

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