A science class has 4 girls and 4 boys in the seventh grade and 5 girls and 7 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 girls?

Question

Mathematics

Felix Hoffman

20 October, 08:10

A science class has 4 girls and 4 boys in the seventh grade and 5 girls and 7 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 girls?

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Answers (1)

Know the Answer?

Callie Wolfe · Answer 1

The correct answer is 5/24 or 0.21

Step-by-step explanation:

1. Let's review all the information given to answer the question correctly:

Science class in seventh grade = 4 girls and 4 boys

Science class in eighth grade = 5 girls and 7 boys

2. What is the probability that both students selected for the competition are girls, a seventh grader and an eighth grader?

These are independent events, therefore:

Probability of two independent events = Probability of A * Probability of B

Probability of both students selected for the competition are girls = 4/8 * 5/12

Probability of both students selected for the competition are girls = 20/96 = 5/24

The correct answer is 5/24 or 0.21