Two White and Two Black Balls (The Correct Model)

And now let's look at the correct model. If we number all the balls and draw them one after another, then the experiment, as the table shows, will have 16-4=12 equiprobable outcomes (four pairs with equal numbers are excluded).

Let's assume that balls 1 and 2 are black and balls 3 and 4 are white. Then it is easy to single out all the outcomes favorable to our event and make sure that there are 8 of them.