Suppose you have 2 bags with the exact same sets of marbles inside. There are 4 red, 5 blue and 7 yellow marbles in each bag. From the first bag, you reach in and take out a marble. You record the color and then put the marble back into the bag. You then try a second time, and from that bag you do the exact same thing except, after you select the first marble and record it's color, you do not put the marble back into the bag, You then select a second marble, just like the first time. This trial involves a process called "with replacement". You put the object back into the bag so that the number of marbles to choose from is the same for both draws.
You may notice that after going into detail with this topic of 'replacement', you will be able to notice the difference between With Replacement and Without Replacement. The post I wrote of Without Replacement shows an actual equation. And, this one I was able to write it out and I wanted to explain to the best of my knowledge. I have now learned the difference from the two.
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