document.write( "Question 1190633: A small class has 9 students, 6 of whom are girls and 3 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the first student chosen will be a boy and the second will be a girl? Write your answer as a fraction in the simplest form. \n" ); document.write( "
Algebra.Com's Answer #822334 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A = P(1st is a boy) = (number of boys)/(number of students total) \n" ); document.write( "A = P(1st is a boy) = 3/9 \n" ); document.write( "A = P(1st is a boy) = 1/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B = P(2nd is a girl, given 1st is a boy) = (number of girls)/(number of students left) \n" ); document.write( "B = P(2nd is a girl, given 1st is a boy) = (6)/(9-1) \n" ); document.write( "B = P(2nd is a girl, given 1st is a boy) = 6/8 \n" ); document.write( "B = P(2nd is a girl, given 1st is a boy) = 3/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(1st is a boy, 2nd is a girl) = A*B = (1/3)*(3/4) = 1/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 1/4 \n" ); document.write( " \n" ); document.write( " |