document.write( "Question 1178826: A bin contains 75 light bulbs, 5 of which are defective. If 5 light bulbs are randomly selected from the bin with replacements, find the probability that all the bulbs selected are good. Round to three decimal places as needed. What equation would I use to find the answer? \n" ); document.write( "
Algebra.Com's Answer #808239 by ikleyn(52810)\"\" \"About 
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document.write( "It means that you, actually, select your bulbs from the set of 70 good bulbs.\r\n" );
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document.write( "Therefore, you may find the probability as\r\n" );
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document.write( "    P = \"%2870%2F75%29%2A%2869%2F74%29%2A%2868%2F73%29%2A%2867%2F72%29%2A%2866%2F71%29\" = 0.70124  (rounded).    ANSWER\r\n" );
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document.write( "The formula says that you first select any of 70 good bulbs from the total of 75 bulbs;\r\n" );
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document.write( "then you select any of 69 remaining good bulbs from the total of remaining 74 bulbs;\r\n" );
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document.write( "    . . . and so on 5 times, in all, completing your selection.\r\n" );
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document.write( "If you are familiar with the notion/conception of COMBINATIONS, you may write the formula for probability in this way\r\n" );
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document.write( "    P = \"C%5B70%5D%5E5%2FC%5B75%5D%5E5\",\r\n" );
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document.write( "which says that the total space of events contains  \"C%5B75%5D%5E5\"  elements,\r\n" );
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document.write( "while the space of favorable events has  \"C%5B70%5D%5E5\" elements.\r\n" );
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document.write( "Both formulas produce the same value and the same answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To learn the subject better by examples,  look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Elementary Probability problems related to combinations \r
\n" ); document.write( "\n" ); document.write( "    - Elementary Probability problems related to combinations REVISITED \r
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\n" ); document.write( "\n" ); document.write( "You will find a variety of similar  (and different)  solved problems there  (!)\r
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