Consider an experiment in which you roll two fair dice and observe the number of dots appears on the top face of each die. Let A represent the event that the sum of the dice is odd. Let B represent the event that the same number of dots appear on both dice. Let C represent the event that the sum of the dice is a prime number (i.e. 2, 3, 5, 7, or 11). Determine the following probabilitiesConsider an experiment in which you roll two fair dice and observe the number of dots appears on the top face of each die. Let A represent the event that the sum of the dice is odd. Let B represent the event that the same number of dots appear on both dice. Let C represent the event that the sum of the dice is a prime number (i.e. 2, 3, 5, 7, or 11). Determine the following probabilities(a)P(A B) (b)P(A C) (c)P(A C) (d)P(BC)