Independent Events and Unions of Events

AP Statistics· difficulty 4/5

Two events are disjoint AND independent only if

A
$At least one has probability 0$
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B
$Both have positive probability$
C
$They are equal$
D
$Their union has probability 1$

Explanation

Disjoint + independent \Rightarrow P(A\capB) = 0 = P(A)\cdotP(B), so one is 0.

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