Conditional Probability

Probability theory and statistics

Conditional Probability

Postby Guest » Tue May 01, 2018 8:40 am

I have a question, im asked to solve the following Problem:

An urn contains 6 red balls and 3 blue balls. One ball is selected at random and is replaced by a ball of the other color.
A second ball is then chosen.
What is the conditional probability that the first ball selected is red, given that the second ball was red?

I know that with conditional probabilities the sequential order does not matter in a sense that it does not matter that the second draw has not happened befor the first draw.

But i have no idea how to solve it.

Many thanks for your help

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