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.Com
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)   (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?

RELATED QUESTIONS

Let A and B be events in a sample space S such that P(A) = 0.6, P(B) = 0.4, and P(A... (answered by jim_thompson5910)
Let A and B be two events in a sample space S such that P(A) = 0.6, P(B) = 0.4, and P(A... (answered by stanbon)
Let p(n) and s(n) denote the product and the sum, respectively, of the digits of the... (answered by Edwin McCravy)
let s=abcdefbe a sample space of an experiment and let e = a,b f=a,d,e and g= b,c,e, be... (answered by Jk22)
Let A and B be events in a sample space S. If P(A)= 2/9, P(B)= 7/36, and P (A and B)=0,... (answered by ikleyn,greenestamps)
Let a_1, a_2, a_3, ... be an arithmetic sequence. Let S_n denote the sum of the first n... (answered by greenestamps,Edwin McCravy)
Let S be the event that a randomly selected college student has taken a statistics... (answered by stanbon)
An experiment with equally likely outcomes has a sample space S and an event E, with... (answered by Fombitz)
Let S = {a, e, j, n, t, x} be a sample space of an experiment and let F = {a, n, x} and G (answered by Fombitz)