Question 1061859
A basket at a baby shower contains 8 bottles of pink nail 
polish numbered 1 through 8, and 5 bottles of red nail polish 
numbered 1 through 5. One bottle is drawn from the basket at 
random.

A=the polish drawn is pink
 
B=the polish drawn is even-numbered

Find P(A∣B).
<pre><b>
The sample space is

{p1,p2,p3,p4,p5,p6,p7,p8,r1,r2,r3,r4,r5}.

By reducing the sample space to just what is given, that is,
B, in which the bottle is even numbered, is

{p2,p4,p6,p8,r2,r4}

We see that there are 4 pink bottles out of 6 bottles, so

{{{"P(A|B)"}}}{{{""=""}}}{{{4/6}}}{{{""=""}}}{{{2/3}}} 

Edwin</pre></b>