1) Two dice are thrown. Consider the sample space with 36 elements described above. Let:
A be the "The total is 2."
B be the "The total is 7."
C be the "The number shown on the first die is odd."
D be the "The number shown on the second die is odd."
E be the "The total is odd."
By counting the appropriate elements of the sample space if necessary, find the probability of each of the following events:
1) B
2) C
3)C\A
2) Suppose P(A) is greater than or equal to 0.9, P(B) is greater than or equal to 0.8, and P(A∩B ∩C)=0. Show that P(C) is less than or equal to 0.3.