document.write( "Question 1199635: A survey of athletes at a high school is conducted, and the following facts are discovered: 34% of the athletes are football players, 58% are basketball players, and 14% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player?\r
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Algebra.Com's Answer #833588 by ikleyn(52782) $\"\"$ $\"About$

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document.write( "(1)  Question \"either F or B\" literally means  \"(F or B separately, EXCLUDING F and B simultaneously)\".\r\n" );
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document.write( "     Under this understanding,  P(either F or B) = (P(F) - P(both)) + (P(B) - P(both)) = \r\n" );
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document.write( "                                                 = (0.34 - 0.14)    + (0.58 - 0.14) = 0.64 = 64%.    ANSWER\r\n" );
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document.write( "(2)  Question \"F or B\"  is close, but DIFFERENT.  It literally means  \"(F or B, including F and B simultaneously)\".\r\n" );
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document.write( "      Under this understanding,  P(F or B) = P(F) + P(B) - P(both) = \r\n" );
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document.write( "                                           = 0.34 + 0.58 -  0.14   = 0.78 = 78%.    ANSWER\r\n" );
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document.write( "So, even small differences may lead to different results.\r\n" );
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document.write( "Therefore, the reader should be very attentive and very confident \r\n" );
document.write( "in the meaning of the question to answer it in a right way.\r\n" );
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