Respuesta :
Answer:
[tex]\frac{5}{204}[/tex]
Step-by-step explanation:
Given:
In a class:
Number of boys = 6
Number of girls = 12
The teach has to select 3 students to be exempted from the test.
To find the probability that all boys students are exempted from the exam.
Solution:
Total number of students in the class = [tex]12+6=18[/tex]
Number of ways to select 3 students among 18 from the class can be given = [tex]18C3[/tex]
Total number of boys = 6
Number of ways to select 3 students among 6 boys can be given = [tex]6C3[/tex]
So, the probability of selecting all 3 students as boys can be given as = [tex]\frac{6C3}{18C3}[/tex]
⇒ [tex]\frac{6\times 5\times 4}{3\times2\times 1}\times \frac{3\times2\times1}{18\times17\times16}[/tex]
⇒ [tex]\frac{120}{4896}[/tex]
⇒ [tex]\frac{5}{204}[/tex] (Answer)
