# Question

If events A, B, And C are independent, show that

(a) A And B ∩ C are independent;

(b) A And B ∪ C are independent.

(a) A And B ∩ C are independent;

(b) A And B ∪ C are independent.

## Answer to relevant Questions

If A1, A2,…, An are independent events, prove that P(A1 ∪ A2,···, An) = 1-{1- P(A1) } · {1- P(A2) } … {1- P(A ∩) } Show that P(A ∪ B) ≥ 1- P(A') - P(B') for Any two events A And B defined in the sample space S. An electronic game contains three components arranged in the series– parallel circuit shown in Figure 2.12. At Any given time, each component may or may not be operative, And the game will operate only if there is a ...In a group of 200 college students, 138 are enrolled in a course in psychology, 115 are enrolled in a course in sociology, And 91 are enrolled in both. How many of these students are not enrolled in either course? Referring to Figure 2.6, verify that P(A ∩ B') = P(A) - P(A ∩ B) Figure 2.6Post your question

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