134k views
5 votes
A box of chocolates contains four milk chocolates and eight dark chocolates. You randomly pick a chocolate and eat it. Then you randomly pick another peice. The first is milk chocolate and the second is dark chocolate. What is the probability?

User Rafiki
by
8.4k points

1 Answer

5 votes

Final answer:

The probability of randomly picking a milk chocolate first and a dark chocolate second in a box of chocolates with 4 milk chocolates and 8 dark chocolates is 8/33.

Step-by-step explanation:

To find the probability, we need to consider the total number of chocolates and the number of milk and dark chocolates. In this case, there are 4 milk chocolates and 8 dark chocolates, making a total of 12 chocolates.

Since the first chocolate picked is milk and the second is dark, the probability can be calculated as follows:

Probability = (Number of milk chocolates / Total number of chocolates) * (Number of dark chocolates / Total number of remaining chocolates after picking milk chocolate)

Probability = (4/12) * (8/11) = 32/132 = 8/33

User Pankaj Wanjari
by
7.4k points