Please answer the following question?
An instructor randomly selects one of the pianists to play first part of the duet from a group of #5# pianists that includes #2# boys and #3# girls. What is the probability of selecting a boy for first part of duet and a girl for the second part of the duet? How the probability changes if second pianist is different?
An instructor randomly selects one of the pianists to play first part of the duet from a group of
1 Answer
Please see below.
Explanation:
As the instructor randomly selects one of the pianists to play first part of the duet from a group of
the probability of selecting boy first is given by
as he selects a pianist to play second part of the duet,
the probability of selecting girl second is given by
Hence
However, probability of selecting a boy first is
Hence
As