# \(\color{Red}{Colourful}\) Probability

**Discrete Mathematics**Level 3

A bag contains \(6\) \(\color{Red} {\text{red}}\) and \(3\) \({\text{white}}\) balls.Four balls are drawn out randomly one by one and are not replaced.What is the probability that they are alternatively of different colours?

\(\textbf{Details and Assumptions}\)

One such sequence may be: \(\color{Red} {\textbf{red}}\),\({\textbf{white}}\),\(\color{Red} {\textbf{red}}\),\({\textbf{white}}\)

If the probability can be expressed in the form \(\dfrac{a}{b}\)where \(a\) and \(b\) are co prime integers then find \(a+b\)