A science class has four girls and four boys in the seventh grade and three girls and five boys in the eighth grade the teacher randomly selects a seventh grader and an eighth grader from the class for competition what is the probability that the student she selects are both boys
prob(boy from 7th) = 4/8 = 1/2
prob(boy from 8th) = .....
multiply the two probs
To find the probability that the student the teacher selects are both boys, we need to calculate the ratio of the number of favorable outcomes to the total number of possible outcomes.
First, let's determine the total number of possible outcomes. The teacher can choose one student from the seventh grade in four different ways, and one student from the eighth grade in five different ways. Therefore, the total number of possible outcomes is 4 * 5 = 20.
Next, let's determine the number of favorable outcomes, where both selected students are boys. In the seventh grade, there are four boys, and in the eighth grade, there are five boys. So, the number of favorable outcomes is 4 * 5 = 20.
Therefore, the probability is given by the number of favorable outcomes divided by the total number of possible outcomes: 20 / 20 = 1.
The probability that the teacher randomly selects a seventh grader and an eighth grader who are both boys is 1 or 100%.