Suppose you have a coin which is rigged so that the probability of tossing a head is 1/8. You toss the coin 3 times. Consider each of the following events. E1E1: T on first flipE2E2: H on first flipE3E3: T on second flipE4E4: Exactly two HE5E5: Not all flips identical(a) P(E1)P(E1) = (b) P(E2)P(E2) = (c) P(E3)P(E3) = (d) P(E4)P(E4) = (e) P(E5)P(E5) = (f) P(E2|E1)P(E2|E1) = (g) P(E3|E1)P(E3|E1) = (h) P(E4|E1)P(E4|E1) = (i) P(E5|E1)P(E5|E1) = Note: for best results, enter exact values or decimal approximations accurate to at least 5 decimal places.