# $$\color{Red}{Colourful}$$ Probability

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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