document.write( "Question 117455: This is a question I need total help with\r
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\n" ); document.write( "\n" ); document.write( "Consider the following multiple-choice question:
\n" ); document.write( "A friend hides 12 yellow eggs and 16 purple eggs for you to find in an egg hunt. What is P(yellow) for the first egg you find?\r
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\n" ); document.write( "\n" ); document.write( "A. 1/4
\n" ); document.write( "B. 1/3
\n" ); document.write( "C. 3/8
\n" ); document.write( "D. 3/7\r
\n" ); document.write( "\n" ); document.write( "Explain why you can eliminate choices B and C.
\n" ); document.write( "What is the correct answer to the question?
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Algebra.Com's Answer #85460 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
The answer to this problem is found by first determining how many eggs are hidden. The number
\n" ); document.write( "of eggs that are hidden is the total of 12 and 16 which is a total of 28 eggs. Then you have
\n" ); document.write( "12 chances of finding a yellow egg as your first egg because there are 12 yellow eggs that are
\n" ); document.write( "hidden. So the probability of finding a yellow egg first is the ratio of the number of
\n" ); document.write( "yellow eggs to the total number of eggs. In fractional form this is:
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\n" ); document.write( "\"12%2F28\"
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\n" ); document.write( "and since 4 is a factor of both the numerator and the denominator of this fraction you can reduce
\n" ); document.write( "the fraction by dividing the numerator and denominator by 4 to get:
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\n" ); document.write( "\"3%2F7\"
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\n" ); document.write( "So D is the correct answer.
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\n" ); document.write( "You can immediately eliminate answers B and C because the correct answer must have 28
\n" ); document.write( "as the original denominator. Therefore, the denominator of the correct answer must be
\n" ); document.write( "a factor of 28 which are 28, 14, 7, 4, 2 and 1. Therefore, the correct answer must have
\n" ); document.write( "one of these numbers as its denominator. Answers A and D do, but answers B and C do not.
\n" ); document.write( "Therefore, they can be eliminated.
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\n" ); document.write( "Hope this helps you to understand the problem a little better.
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