1) Find the probability (type answer as an integer or simplified fraction) of a couple having a baby boy when their fifth child is born, given that the first four children were all boys. Assume boys and girls equally likely. Is the result the same as the probability of getting all boys among five children?
2) When designing an experiment to study tree growth, five treatments are used. A row of 8 trees extend from a moist creek bed to a dry land area. If on of the five treatments is randomly assigned to each of the 8 trees , how many different treatment arrangements are possible?
The solution provides step by step method for the calculation of probability . Formula for the calculation and Interpretations of the results are also included.