Thanks in advance :)

3. As part of a game at a birthday party, a fair, sixsided die is rolled. How the game proceeds depends on the outcome of the die roll as follows: If the outcome is 1, 2, or 3: The player is rewarded with a piece of candy. If the outcome is 4 or 5: The player is rewarded with a sticker. If the outcome is 6: The player is rewarded with both a sticker and a piece of candy. Let the following events be defined by the symbols A, B, O: A : The player's reward includes a sticker. B : The player rolls a 4. C : The player's reward includes a piece of candy. (a) What is P(A)? (b) What is P(A|B) (The probability of event A given event B)? (c) What is P(B|A)? (d) What is P(A OR B)? (e) What is P(A|C)? (f) What is P(O|A)? (g) Identify two events (out of A, B, C) that are mutually exclusive, or state that there is no way to select a pair of events that are mutually exclusive. (h) Identify two events (out of A, B, C) that are independent, or state that there is no way to select a pair of events that are independent