How to figure out the probability of these two questions?

You toss two fair dice simultaneously. How many outcomes are in this sample space? Note you do NOT need to list the outcomes, only report the total number of outcomes. a) Let A be the event that you roll "Snake Eyes", i.e., total is 2? Find P(A). b) Let B be the event that you roll a total is 4. Find P(B). c) Let C be the event that you roll a total of at least 10. Find P(C). d) Let D be the event that you roll "Doubles", i.e., each die displays the same value. Find P(D). e) Find P(AUC). f) Find P(AUD).Ted Cruz won the Republican Iowa caucus by about 28% of the vote. It is believed that he won this caucus by a strong evangelical vote. About 15% of the Republican voters self- identified with being evangelical. The probability that a delegate supported Ted Cruz given that they are evangelical is 80%. Let C be the event that a delegate supports Ted Cruz. Let E be the event that a delegate is evangelical Let Es be the event that a delegate is not evangelical. a) Find P(Cn E). b) Statistically show using a formula whether events C and E are independent or not. c) Find P(C n Ec). d) Find the probability that a delegate does not self-identify with being evangelical given that they support Ted Cruz