Answer:
0.1071
Step-by-step explanation:
Given
Total number of students=8
Boys=2
Girls=6
When we are picking a group from population we use combinations to calculate sample space and for event
So if a group of 5 has to be picked from 8 students
ⁿC_k= n!/(k!)(n-k)!
C_(n,k)= n!/(k!)(n-k)!
Here n=8 and k=5
C_8,5= 8!/(5!)(8-5)!
This will give us:
C_8,5=56
And if we have to pick only girls:
C_6,5= 6!/(5!)(6-5)!
=6
The probability of picking all girls:
=6/56
=0.1071
