document.write( "Question 311668: A short quiz has two true-false questions and one multiple-choice question with four choices. A student guesses at each question. Assuming the choices are all equally likely, what is the probability that the student gets all three correct.
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document.write( " 1/32
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document.write( " 1/3
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document.write( " 1/8
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document.write( " 1/16
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document.write( " Please walk me thru this problem I am trying to take this online stats class and am failing miserably.
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document.write( "Thank you,
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document.write( "Kim \n" );
document.write( "
Algebra.Com's Answer #222943 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A short quiz has two true-false questions and one multiple-choice question with four choices. A student guesses at each question. Assuming the choices are all equally likely, what is the probability that the student gets all three correct. \n" ); document.write( "----- \n" ); document.write( "The events are independent, so P(A and B) = P(A)*P(B) \n" ); document.write( "--- \n" ); document.write( "P(2 correct on true-false) = (1/2)(1/2) = 1/4 \n" ); document.write( "P(1 correct mult-choice) = 1/4 \n" ); document.write( "---- \n" ); document.write( "P(this and that) = (1/4)(1/4) = 1/16 \n" ); document.write( "============================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================================== \n" ); document.write( "1/32 \n" ); document.write( "1/3 \n" ); document.write( "1/8 \n" ); document.write( "1/16 \n" ); document.write( " \n" ); document.write( " |