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