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A sample space consists of 9 elementary ...

A sample space consists of 9 elementary outcomes `E_(1),E_(2),…..,E_(9)` whose probabilities are
`P(E_(1))=P(E_(2))=0.08,P(E_(3))=P(E_(4))=P(E_(5))=0.1`
`P(E_(6))=P(E_(1))=0.2,P(E_(8))=P(E_(9))=0.07`
`"Suppose"" "A={E_(1),E_(5),E_(8)},B={E_(2),E_(5),E_(8),E_(9)}`
(i) Calculate P(A), P(B) and `P(AcapB)`.
(ii) Using the addition law of probability, calculate `P (AcupB).`
(iii) List the composition of the event `AcupB` and calculate `P(AcupB)` by adding the probabilities of the elementary outcomes.
Calculate `P(overset(-)B)` from P(B), also calculate `P(overset(-)B)` directly from the elementary outcomes of `overset(-)B`,

Text Solution

Verified by Experts

The correct Answer is:
a.`P(A)=0.25, P(B)=0.25, P(AuuB)=0.1, `
b. `P(AuuB)=0.40` (c) 0.40 d. 0.68
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