document.write( "Question 1061544: Pease help me again: A die is rolled 3 times. What is the probability of?
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document.write( "a. no three turning up?
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document.write( "b. 1 three?
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document.write( "c. 3 three?\r
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document.write( "Thanks again.. \n" );
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Algebra.Com's Answer #676468 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! You use the binomial probability distribution \n" ); document.write( ": \n" ); document.write( "a) probability(Pr) of rolling a 3 on one roll is 1/6, therefore \n" ); document.write( "Pr ( k = 0 ) = 3C0 * (1/6)^0 * (5/6)^(3-0) \n" ); document.write( "Pr ( k = 0 ) = 1 * 1 * (5/6)^3 = 125/216 = 0.5787 \n" ); document.write( ": \n" ); document.write( "b) Pr ( k = 1 ) = 3C1 * (1/6)^1 * (5/6)^(3-1) \n" ); document.write( "Pr ( k = 1 ) = 3 * (1/6) * (25/36) = 0.3472 \n" ); document.write( ": \n" ); document.write( "c) Pr ( k = 3 ) = 3C3 * (1/6)^3 * (5/6)^(3-3) \n" ); document.write( "Pr ( k = 3 ) = 1 * (1/6)^3 * 1 = 1/216 = 0.0046 \n" ); document.write( ": \n" ); document.write( "Note 3Ck = 3! / (k! * (3-k)! \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |