Question #2 (a):Let the events A and B have P[A] = x, P[B] = y and P[AU B] = z. Find the following probabilities. \text { (a) } \mathbb{P}[A \cap B] \text { (b) } \mathbb{P}\left[A^{c} \cap B^{c}\right] \text { (c) } \mathbb{P}\left[A^{c} \cup B^{c}\right] \text { (d) } \mathbb{P}\left[A \cap B^{c}\right] \text { (e) } \mathbb{P}\left[A^{c} \cup B\right]