document.write( "Question 1005150: Pizza Time has collected data about customer pizza topping preferences. They have calculated that P(pepperoni) = 0.7, P(olives) = 0.6, and P(pepperoni or olives) = 0.8. Determine the P(pepperoni and olives). (2 points)
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\n" ); document.write( " 0.5 is the answer but why??
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Algebra.Com's Answer #621489 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "p = pepperoni
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\n" ); document.write( "\n" ); document.write( "P(p) = 0.7 means that 7 out of 10 people like p OR p & o. Similarly, P(o) = 0.6 means that 6 out of 10 people like o OR p & o. P(p OR o) = 0.8 means that 8 out of 10 people like p OR o OR p & o.\r
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\n" ); document.write( "\n" ); document.write( "If you add 0.7 and 0.6, you get 1.3 which is greater than 1. Therefore, adding these two values have caused us to count something twice, and that thing we have counted twice is P(p & o). Why? Read on.\r
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\n" ); document.write( "\n" ); document.write( "P(p) = P(p & ~o) + P(p & o)\r
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\n" ); document.write( "\n" ); document.write( "P(o) = P(o & ~p) + P(p & o)\r
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\n" ); document.write( "\n" ); document.write( "P(p OR o) = P(p & ~o) + P(o & ~p) + P(p & o)\r
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\n" ); document.write( "\n" ); document.write( "P(p) + P(o) = P(p & ~o) + P(p & o) + P(o & ~p) + P(p & o)\r
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\n" ); document.write( "\n" ); document.write( "P(p) + P(o) - P(p OR o) = P(p & o)\r
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\n" ); document.write( "\n" ); document.write( "0.7 + 0.6 - 0.8 = 0.5\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it\r
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