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Unformatted text preview: 2 , 3 , 4 , and 5 are equally likely, but 6 is 3 times as likely as any other outcome. Find the probability of 6 . 1 , 2 , 3 , 4 , and 5 are equally likely ⇒ P( 1 ) = P( 2 ) = P( 3 ) = P( 4 ) = P( 5 ) = p for some p . 6 is 3 times as likely as any other outcome ⇒ P( 6 ) = 3 p . P( 1 ) + P( 2 ) + P( 3 ) + P( 4 ) + P( 5 ) + P( 6 ) = 1. ⇒ p + p + p + p + p + 3 p = 1. ⇒ 8 p = 1. ⇒ p = 1 / 8 = 0.125. P( 6 ) = 3 p = 3 / 8 = 0.375 ....
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 Spring '08
 STEPANOV
 Statistics, Outcome, partial credit, 6sided die

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