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A box contains 5 purple marbles, 3 green marbles, and 2 orange marbles. Twoconsecutive draws are made from the box without replacement of the first draw.Find the following probability:P(first marble is purple, second is any color EXCEPT purple)

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SOLUTION:

We want to find the probability that;

[tex]P(1st\text{ }Purple\text{ }and\text{ }2nd\text{ }Not\text{ }Purple)[/tex][tex]\begin{gathered} P(1st\text{ }Purple)=\frac{5}{10}=\frac{1}{2} \\ P(2nd\text{ not purple\rparen}=\frac{5}{9} \end{gathered}[/tex]

Thus;

[tex]P(1st\text{ }purple\text{ }&\text{ }2nd\text{ }not\text{ }purple)=\frac{1}{2}\times\frac{5}{9}=\frac{5}{18}[/tex]

Thus, the answer is;

[tex]\frac{5}{18}[/tex]

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