In a company meeting it has been determine to create a couns

In a company meeting it has been determine to create a counseling group of employees that works with complaints of other employees. This group is going to be from the following: president, HR Manager and four employees. The four employees are selected from a group of 15 volunteers. The volunteer group is going to be out of 9 males and 6 females. Calculate the probability that 2 o more males are chosen from the volunteer group.

Solution

Given,

4 Employees selected from 15 Volunteers.

So Total Number of ways Selecting 4 from 15 = 15C4

And 4 Employees selected from 9 Males and 6 Females. 2 or more males Chosen.

So, Can Select 1 from Female and rest from Male,

So, 6C1*9C3.

Required Probabilty= 6C1*9C3/15C4.

6C1*9C3.= 6*9*8*7/3*2*1= 504.

15C4=15*14*13*12/4*3*2*1=1365

Probabilty=504/1365=0.369

Answer: 0.369