題組內容

1. (5% each, 20% in total) Yes/No questions. No need to state reasons.

(c) Let \( \Omega \) be a sample space. Let \( E_1 \) and \( E_2 \) be two disjoint events, with \( E_1 \cup E_2 = \Omega \). Is the statement " \( P[E] = P[E \cap E_1] + P[E \cap E_2] \) for any event \( E \subseteq \Omega \) true?

阿摩線上測驗 · 2026-10-30T10:38:46+08:00

(c) Let Ω be a sample space. Let E_1 and E_2 be two disjoint events, with E_1 E_2 = Ω. Is the statement " P[E] = P[E E_1] + P[E E_2] for any event E Ω true?

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題組內容

(c) Let \( \Omega \) be a sample space. Let \( E_1 \) and \( E_2 \) be two disjoint events, with \( E_1 \cup E_2 = \Omega \). Is the statement " \( P[E] = P[E \cap E_1] + P[E \cap E_2] \) for any event \( E \subseteq \Omega \) true?

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