A class has 5 girls 7 boys in seventh grade. 2 girls and 2 boys in eight. Randomly selects a seventh and eight grader. What is probability that the students picked are girls
Prob(girl in grade 7) = 5/12
prob(girl in grade 8) = 2/4 = 1/2
multiply the two probs
To find the probability that the students picked are girls, we need to determine the total number of students and the number of girls.
In the seventh grade, there are a total of 5 girls and 7 boys, making a total of 12 students.
In the eighth grade, there are 2 girls and 2 boys, making a total of 4 students.
To calculate the probability of selecting a girl from each grade, we first find the probability of picking a girl from the seventh grade and then multiply it by the probability of picking a girl from the eighth grade.
Probability of picking a girl from the seventh grade:
There are 5 girls out of a total of 12 students in the seventh grade. Therefore, the probability of selecting a girl from the seventh grade is 5/12.
Probability of picking a girl from the eighth grade:
There are 2 girls out of a total of 4 students in the eighth grade. Therefore, the probability of selecting a girl from the eighth grade is 2/4, which simplifies to 1/2.
Now, we multiply the probabilities:
P(girl from seventh) * P(girl from eighth) = (5/12) * (1/2) = 5/24.
So, the probability that the students picked are girls is 5/24.