document.write( "Question 1203673: A softball team has three pitchers, A, B, and C, with winning percentages of 0,4, 0.6, and 0.8 respectively. These pitchers pitch with frequency 2,3 and 5 out of every 10 games, respectively In other words for a randomly selected game P(A) = 0.2 P(B) = 0.3, and P(C) = 0.5:
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Algebra.Com's Answer #839449 by ikleyn(52797) $\"\"$ $\"About$

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\n" ); document.write( "A softball team has three pitchers, A, B, and C, with winning $\"highlight%28cross%28percentages%29%29\"$ rates of 0.4, 0.6, and 0.8 respectively.
\n" ); document.write( "These pitchers pitch with frequency 2,3 and 5 out of every 10 games, respectively
\n" ); document.write( "In other words for a randomly selected game P(A) = 0.2 P(B) = 0.3, and P(C) = 0.5:
\n" ); document.write( "(a) Find P(team wins game) = P(W)
\n" ); document.write( "(b) P(A pitched game | team won) = P(A|W)
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document.write( "                     Part (a) solution\r\n" );
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document.write( "Pitcher A contributes to winning   = 0.2*0.4 = 0.08.\r\n" );
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document.write( "Pitcher B contributes to winning   = 0.3*0.6 = 0.18.\r\n" );
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document.write( "Pitcher C contributes to winning   = 0.5*0.8 = 0.4.\r\n" );
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document.write( "The probability to win a game is the sum of these partial probabilities \r\n" );
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document.write( "    P(W) = 0.08 + 0.18 + 0.4 = 0.66,\r\n" );
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document.write( "since their contributions are disjoint.\r\n" );
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document.write( "                     Part (b) solution\r\n" );
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document.write( "It is the conditional probability \r\n" );
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document.write( "    P(A|W) =  =  = 0.1212  (rounded).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, with complete explanations.\r
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\n" ); document.write( "\n" ); document.write( "I replaced the word \"percentage\" in the post, since there is NO any percentage there.\r
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\n" ); document.write( "\n" ); document.write( "Simply the problem's creator likes to use \"smart\" scientific terms, but makes it lubberly.\r
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