27. Suppose in Exercise 26 we had defined the events E;, i = 1, 2, 3, 4, by E₁ = {one of the piles contains the ace of spades}, E2 = {the ace of spades and the ace of hearts are in different piles}, E3 = {the ace of spades, the ace of hearts, and the ace of diamonds are in different piles}, En = {all 4 aces are in different piles}

Now use Exercise 23 to find P(E1 E2 E3E4), the probability that each pile has an ace. Compare your answer with the one you obtained in Exercise 26.