Question

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)

Answer 1

We want to find the probability that;

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

Thus;

`P(1st\text{ }purple\text{ }&\text{ }2nd\text{ }not\text{ }purple)=(1)/(2)*(5)/(9)=(5)/(18)`

Thus, the answer is;

`(5)/(18)`