document.write( "Question 1092185: I teach 7th grade and I am having trouble setting up this problem:
\n" ); document.write( "A nationwide survey showed that only 4% of children liked lima beans. What is the probability that any two children will both like lima beans? Book has 1/16 as the answer, but I'm having difficulty setting it up. \n" ); document.write( "

Algebra.Com's Answer #706764 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

I interpret the problem differently than the tutor who posted the first response. The way I read the problem, the size of the group is irrelevant.

\n" ); document.write( "If the probability of any one child liking lima beans is 1/x, then the probability that two children will both like lima beans is (1/x)^2.

\n" ); document.write( "Since the book says the probability of two children both liking lima beans is 1/16, which is (1/4)^2, I'm wondering if the problem said that the probability of any child liking lima beans is 1/4 -- instead of 4%.

\n" ); document.write( "If 4% is indeed the probability for each child, then the probability that two children will both like lima beans is (4/100)^2 = 16/10000 = 0.0016 = 0.16% \n" ); document.write( "

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