SOLUTION: Let A be an event within the sample space S, and let n(A)=a and n(S)=s. Evaluate and simplify P(A)+P(A').

Algebra ->  Probability-and-statistics -> SOLUTION: Let A be an event within the sample space S, and let n(A)=a and n(S)=s. Evaluate and simplify P(A)+P(A').      Log On


   

Question 1026476: Let A be an event within the sample space S, and let n(A)=a and n(S)=s. Evaluate and simplify P(A)+P(A').
Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
since p(A)=a
and n(s)=s
Then p(A)=a/s
also,p(A')=1-p(A)
=1-(a/s)
now,
p(A)+p(A')=(a/s)+1-(a/s)
=(a/s)-(a/s)+1
=1
p(A)+p(A')=1
Hope this helps?