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 #706754 by Boreal(15235) $\"\"$ $\"About$

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The probability any one child will like lima beans is 0.04. Assuming independence, the probability of another child's liking them is also 0.04. But we do not know the size of the population from which we are choosing. If it is two children, the probability is 0.0016. I wonder if somehow the 1/16 is a misprint. \r
\n" ); document.write( "\n" ); document.write( " If it is say 10 children, it is 10C2*0.04^2*0.96^8=0.0519. There are different answers for different numbers of children. \r
\n" ); document.write( "\n" ); document.write( "Key question: any two children from what size group?
\n" ); document.write( "With some work (or a table), one can show that the probability of EXACTLY two children from a group of 9 will like lima beans is close to 1/16 or 0.0625, although it is not exactly 1/16.
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