Find the probability

Question

A box of chocolates contains eight milk chocolates and seven dark chocolates. You randomly pick a chocolate and eat it. Then you randomly pick another piece. The first piece is milk chocolate and the second piece is dark chocolate.

Answer 1

Hi Max,

 

Is your question "What is the probability that the first piece picked is milk chocolate and the second piece is dark chocolate?". If so, then

P(milk choc.) = 8/15

After picking a milk chocolate, you only have 14 pieces left, 7 milk and 7 dark chocolates.

P(dark choc.) = 7/14 = 1/2

P(milk choc. then dark choc.) = P(milk choc.) * P(dark choc.)
= 8/15 * 1/2
= 8/30 = 4/15