document.write( "Question 1203987: Preston buys a bag of cookies that contains 6 chocolate chip cookies, 8 peanut butter cookies, 6 sugar cookies and 7 oatmeal cookies. What is the probability that Preston randomly selects a sugar cookie from the bag, eats it, then randomly selects an oatmeal cookie? Express you answer as a reduced fraction.
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Algebra.Com's Answer #839955 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A = 1st selection is sugar cookie \n" ); document.write( "B = 2nd selection is oatmeal cookie\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(A) = (6 sugar)/(6+8+6+7 total) \n" ); document.write( "P(A) = 6/27\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(B given A) = (7 oatmeal)/(27-1 remaining) \n" ); document.write( "P(B given A) = (7 oatmeal)/(26 remaining) \n" ); document.write( "P(B given A) = 7/26\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(A and B) = P(A)*P(B given A) \n" ); document.write( "P(A and B) = (6/27)*(7/26) \n" ); document.write( "P(A and B) = (6*7)/(27*26) \n" ); document.write( "P(A and B) = (2*3*7)/(3*9*2*13) \n" ); document.write( "P(A and B) = 7/(9*13) \n" ); document.write( "P(A and B) = 7/117\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------------------------- \n" ); document.write( "-----------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 7/117 \n" ); document.write( " \n" ); document.write( " |