document.write( "Question 1186491: A department store analyzed its most recent sales and determined the relationship between the way a customer paid for an item and the price category of the item. the joint probabilities are given :
\n" ); document.write( "Under $20 cash 0.09 credit 0.03 debit card 0.04
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\n" ); document.write( "find the probability that an item is purchased for over $100 given that it was paid by a credit
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Algebra.Com's Answer #817409 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "A department store analyzed its most recent sales and determined the relationship between the way a customer paid
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document.write( "Under $20       	cash 0.09 	credit 0.03 		debit card 0.04\r\n" );
document.write( "$20-100 dollars 	Cash 0.05 	credit 0.21 		debit card 0.17\r\n" );
document.write( "Over $100  		cash 0.01 	credit card 0.26 	debit card 0.14\r\n" );
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document.write( "find the probability that an item is purchased for over $100 given that it was paid by a credit\r\n" );
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document.write( "This problem is on  \" conditional probability \".\r\n" );
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document.write( "The words \"given that it was paid by a credit\"  tell you that you can restrict/reduce your selection/(your attention)\r\n" );
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document.write( "by considering credit card shopping, ONLY.\r\n" );
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document.write( "Then you see  from the Table  that  0.03 + 0.21 + 0.26 = 0.50  of all items  are payed by credit cards;\r\n" );
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document.write( "OF THEM,  the part which are over $100  is 0.26  (see the Table).\r\n" );
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document.write( "Therefore, the conditional probability under the problem's question is\r\n" );
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document.write( "    P = \"0.26%2F0.5\" = 0.52.      ANSWER\r\n" );
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