Six Easter Eggs were delivered to Quiz Master Shop Towers is a box that was arranged in two rows of three holes. Three of the Easter Eggs were blue and three of the Easter Eggs were red.
If the Easter Eggs are placed in the box at random, what is the probability that one row of three holes contains three red eggs, and thus the other row of three holes contains three blue eggs?
Considering one of the two rows of three holes:
The probability that the first Easter Egg is red or blue is 100% - there are only red and blue Easter Eggs, and it has to be one of them.
The probability of the second Easter Egg being the same colour as the first is 40% - there are five Easter Eggs left, and two of them are the same colour as the first Easter Egg.
The probability of the third Easter Egg being the same colour as the first two Easter Eggs is 25% - there are four Easter Eggs left, and one of them is the same colour as the first two Easter Eggs.
So the chances of one row containing three Easter Eggs of the same colour is 10%, or one in ten. And, of course, if one row is all red, the other must be all blue.