Answer:
This explanation is about calculating probabilities for certain defined events based on a set of whole numbers. It involves determining outcomes for events, their complements, and joint occurrences, using the given sample space in probability.
Step-by-step explanation:
The question involves understanding and calculating probabilities of different events with a given sample space in Mathematics. Specifically, this relates to the process of determining the probability of occurrences concerning even numbers and certain ranges within a set of whole numbers. When a problem presents events such as Event A being the set of even numbers and Event B being numbers greater than a certain value, one must consider the sample space and apply probability rules.
In the given scenarios:
- Event T is defined as the outcome being exactly two.
- Event A refers to outcomes that are even numbers.
- Event B signifies outcomes that are less than four or greater than thirteen, depending on the context.
- The complement of A would be all outcomes that are not even - which are odd numbers in the sample space.
- A GIVEN B represents the probability of A occurring given that B has occurred, and B GIVEN A is the reverse.
- The probability of A AND B is the chance of both events A (even numbers) and B (numbers greater than thirteen) occurring simultaneously.
The calculation of probabilities such as P(A) (probability of A) would involve counting the number of favorable outcomes over the total number of outcomes in the sample space.