See tha attached pdf file and let me know how useful this answer is.
Answer:
Option 3 is correct that is prime numbers.
Step-by-step explanation:
Even numbers are those which are divisible by 2
Prime numbers are the numbers which are divisible by 1 and the number itself
Since, we have to take only positive numbers
Carrie has taken out the set of even number within the set of prime number
So, 2 is the only number inside this eset because 2 is even as well as prime
Hence,universal set will be prime numbers
Therefore, Option 3 is correct that is prime numbers.
Answer:

Step-by-step explanation:
Given: Let A be the event that the first die lands on 2 and B be the event that the second die lands on 2.
To find:
P(A), the probability that the first die lands on 2
P(B), the probability that the second die lands on 2
P(A and B): the probability that the first die lands on 2 and the second die lands on 2
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favourable outcomes/total number of outcomes
Sample space = 
Total number of outcomes = 6
For P(A):
Number of favourable outcomes = 1
So,

For P(B):
Number of favourable outcomes = 1
So,

P(A and B) = 
Yes, A and B are independent events as happening of each of the event does not depend on the other.