Basic Rules of Probabilities

Question

In the rolling of two fair dice calculate the following:

P(Sum of the two dice is 5)=

P(Sum of the two dice is 8)=

P(Sum of the two dice is NOT 9)=

P(Sum of the two dice is 4 or 6)=

P (Sum of the two dice is NOT 7 and NOT 100)=

Answer 1

P(5) = 4/36 = 1/9

P(8) = 5/36

P(not 9) = 1 -4/36 = 8/9

P(4 or 6) = 3/36+5/36= 8/36 = 2/9

P(not 7 & not 100) = P(7)= 6/36 = 1/6

P(2) =1/36 = P(12)

P(3)=2/36 = P(11)

P(4) =3/36= P(10)

P(5)=4/36 = P(9)

P(6) =5/36 = P(8)

P(7) = 6/36