$\color{Red}{Colourful}$ 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 $a+b$

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Colourful\color{Red}{Colourful}Colourful Probability