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).
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
Edwin
