My questions I am looking at is:(adsbygoogle = window.adsbygoogle || []).push({});

We have twelve balls, four of which are white and eight are black. Three blindfolded players, A, B, and C draw a ball in turn, first A, then B, then C. The winner is the one who first draws a white ball. Assuming that each black ball is replaced after being drawn, find the ratio of the chances of each player.

I do not have any background on dependent proability with replacement, only without.

When making a probability tree with replacement would it look like this:

......PlayerA.................Player B...............Player C

.........- ............................- ........................-

.......- - - ....................... - - -....................- - -

......- - - -.......................- - - - .................- - - -

.....b......w....................b.......w................b......w

...8/12...4/12.............8/13.....4/13...........8/14...4/14

Please ignore the dots, it's the only way I could get my probability tree to look right.

My logic is that player A has an advantage because he's going first. So to reduce player 2's chances I added one to the sample set to symbolize that a turn had already been taken. Am I right in my thinking?

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# Conditional Dependent Probability

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