Answer:
a. 40С10 * 20С10 / 60С20
b. 1 + (40)(20) + (40C2)(20C2) / 60С20
Step-by-step explanation:
Total number of application = 60
Total number of application from east = 40
Total number of application remaining = 20
Number of ways of selecting 20 applicant = 60C20 (Sample space)
a. Probability of 10 are from East.
= (10 from east) * (10 from remaining)
= 40С10 * 20С10 / 60С20
b. Probability of Not more than 2 are from East.
= P(x≤2)
= P(x=0) + P(X=1) + P(X=2)
= [40С0 * 20С20 / 60С20] + [40С1 * 20С19 / 60С20] + [40С2 * 20С18 / 60С20]
= 1 + (40)(20) + (40C2)(20C2) / 60С20
