We throw a fair die repeatedly until an outcome of either 3 or 4 appears for the fourth time. fX denotes the number of trials until this happens, then which of the following statements s correct?

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Chapter6: Topics In Analytic Geometry
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We throw a fair die repeatedly until an outcome of either 3 or 4 appears for the fourth time.
If X denotes the number of trials until this happens, then which of the following statements
is correct?
○ P(X = 4) = (2/3)4
○ P(X = 3) = (1/3)4
○ E(X) = 3
○ E(X) = 12
Transcribed Image Text:We throw a fair die repeatedly until an outcome of either 3 or 4 appears for the fourth time. If X denotes the number of trials until this happens, then which of the following statements is correct? ○ P(X = 4) = (2/3)4 ○ P(X = 3) = (1/3)4 ○ E(X) = 3 ○ E(X) = 12
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