Let A and B be independent events, with P (A) = 1/2 and P (B) = 1/2. Read statements (a) through (d). Then decide whether each statement is TRUE or FALSE. (a) P (A) and P (B) are mutually exclusive and independent is [Select] (b) P (A) and P (B) occur at the same time but do not affect the probability of each other is [Select] (c) P (An B) = 0 is [Select] (d) P (AUB) = 3/4 is [Select]

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Let A and B be independent events, with P (A) = 1/2 and P (B) = 1/2.
Read statements (a) through (d). Then decide whether each statement is TRUE or FALSE.
(a) P (A) and P (B) are mutually exclusive and independent is [Select]
(b) P (A) and P (B) occur at the same time but do not affect the probability of each other is [Select]
(c) P (An B) = 0 is [Select]
(d) P (AUB) = 3/4 is [Select]
<
Transcribed Image Text:Let A and B be independent events, with P (A) = 1/2 and P (B) = 1/2. Read statements (a) through (d). Then decide whether each statement is TRUE or FALSE. (a) P (A) and P (B) are mutually exclusive and independent is [Select] (b) P (A) and P (B) occur at the same time but do not affect the probability of each other is [Select] (c) P (An B) = 0 is [Select] (d) P (AUB) = 3/4 is [Select] <
Expert Solution
Step 1: Given information

Let A and B be independent events.

P open parentheses A close parentheses equals 1 half and

P open parentheses B close parentheses equals 1 half


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