Question

A science class has 7 girls and 5 boys in the seventh grade and 3 girls and 9 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys?\

Answer 1

For the seventh grade class:

p(boy) = 5/(5+7)=5/12


For the eighth grade class:

p(boy) = 9/(9+3)=9/12


The probability that the students teacher selects are both boys = 5/12 * 9/12 = 5/16 = 0.3125

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