Respuesta :
Given
A math class has 5 girls and 5 boys in the seventh grade and 9 girls and 1 boy in the eighth grade.
The teacher randomly selects a seventh grader and an eighth grader from the class for a competition.
To find: What is the probability that the students she selects are both boys?
Explanation:
It is given that,
The number of students in the seventh grade is 5+5=10.
Also, the number of students in the eighth grade is 9+1=10.
Let A be the event of selecting a seventh grader and an eighth grader from the class for a competition.
Therefore, the probability that the students she selects are both boys is,
[tex]\begin{gathered} P(A)=\frac{5}{10}\times\frac{1}{10} \\ =\frac{1}{2}\times\frac{1}{10} \\ =\frac{1}{20} \end{gathered}[/tex]Hence, the probability that the students she selects are both boys is 1/20.
