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A math class has 4 girls and 4 boys in the seventh grade and 3 girls and 5 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? write your answer as a fraction in simplest form.

Respuesta :

Total seventh grade = 4 + 4 = 8
Total eight grade = 3 + 5 = 8

P(a seventh grade girl and a eight grade girl) = (4/8)(3/8) = 3/16

Answer: 3/16
penfila11Pen
Hey there :)

Math class:
7th grade = 4 girls and 4 boys          Total students in grade 7 → 4 + 4 = 8
8th grade = 3 girls and 5 boys          Total students in grade 8 → 3 + 5 = 8

Fraction of girls in 7th grade = [tex] \frac{4}{8} = \frac{1}{2} [/tex]
Fraction of girls in 8th grade = [tex] \frac{3}{8} [/tex]

Teacher randomly chooses a 7th and 8th grader.
Therefore the probability will be:
P = girls of 7th grade x girls of 8th grade
 
P = [tex] \frac{1}{2} [/tex] × [tex] \frac{3}{18} [/tex]
   = [tex] \frac{3}{16} [/tex]


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