An experiment consists of rolling a pair of dice and observing the uppermost faces. The sample space for this experiment consists of 36 outcomes listed as pairs of numbers: S = {(1,1),(1,2), (6,6)} Let E be the event that both faces are even and F the event that both faces add to 6. Which of the following statements is true? A B C D E and F are mutually exclusive ENF = {(4,2), (2,4)} EUF=S EUF' =S

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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An experiment consists of rolling a pair of dice and observing the uppermost faces. The sample space for this experiment
consists of 36 outcomes listed as pairs of numbers: S = {(1,1),(1,2),
(6,6)}
Let E be the event that both faces are even and F the event that both faces add to 6. Which of the following statements is true?
A
B
C
D
E and F are mutually exclusive
ENF = {(4,2), (2,4)}
EUF=S
EUF' =S
Transcribed Image Text:An experiment consists of rolling a pair of dice and observing the uppermost faces. The sample space for this experiment consists of 36 outcomes listed as pairs of numbers: S = {(1,1),(1,2), (6,6)} Let E be the event that both faces are even and F the event that both faces add to 6. Which of the following statements is true? A B C D E and F are mutually exclusive ENF = {(4,2), (2,4)} EUF=S EUF' =S
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