In: Advanced Math
1. For each of the phenomena described below, propose a
probability distribution for the numerical variable(s) involved and
give the corresponding formula.
e) Compute the probability of observing exactly k alternations of
colours in a drawing of 6 balls, with replacement, from an urn
containing an equal number of red and blue balls. (Examples: RBBBBB
is one alternation, whereas RBBRBB and RRBRBB each have three
alternations.)
The solution is given below. The distribution comes out to be a distribution. Hence, the formula is