A fair die, with faces numbered 1 to 6, is rolled twice and the sum of the scores showing up noted. Let A be the event that the sum of the scores is greater than 7, B be the event that the sum of the scores is a multiple of 3 and C be the event that the sum of the scores is a prime number. Show that P= P(A)+P(B)-P(AB) and also find P,P(BC) and P(BC')