document.write( "Question 1193842: Carl claims to have so delicate a palate that he can tell by tasting from which brand of juice L and R a given sample originated.\r
\n" ); document.write( "\n" ); document.write( "Carl is presented with eight cups filled by spinning a spinner with choices L and R .\r
\n" ); document.write( "\n" ); document.write( "p(L)= 1/4
\n" ); document.write( "p(R)= 3/4\r
\n" ); document.write( "\n" ); document.write( "Carl simply predicts the outcome which has the higher probability. What is the probability that his guess will be correct?
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Algebra.Com's Answer #825895 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "Carl claims to have so delicate a palate that he can tell by tasting from which brand
\n" ); document.write( "of juice L and R a given sample originated.
\n" ); document.write( "Carl is presented with eight cups filled by spinning a spinner with choices L and R .
\n" ); document.write( "p(L)= 1/4
\n" ); document.write( "p(R)= 3/4
\n" ); document.write( "Carl simply predicts the outcome which has the higher probability.
\n" ); document.write( "What is the probability that his guess will be correct?
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document.write( "Based on given info, you may think that of 8 cups, 2 are L and 6 are R.\r\n" );
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document.write( "According to the problem, Carl always predicts R.\r\n" );
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document.write( "So, his prediction is correct in 6 cases of 8.\r\n" );
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document.write( "Thus the probability he predicts correctly is  \"6%2F8\" = \"3%2F4\" = 0.75 = 75%.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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