3) Suppose that the 26 letters A, B, C, ..., Y, and Z are randomly ordered, from left to right. Letting E1 be the event that A is placed to the left of C, and E2 be the event that B is placed to the left of C, use the denition of independent events, in a direct manner, to show that either E1 and E2 are independent, or E1 and E2 are not independent (i.e., establish whether or not the probability of their intersection is equal to the product of the two probabilities).