Final answer:
The question pertains to the evaluation of probability in a sample space with five equally likely outcomes. Events A and B are subsets of this space, and the probability of an event is the ratio of favorable outcomes to total outcomes in the sample space.
Step-by-step explanation:
Understanding Probability
In the given problem, we are presented with a sample space that consists of five equally likely experimental outcomes: L1, E2, E3, F4, E5. The question mentions two events, A = {E3, E4} and B = {E1, E2}. To analyze such problems, we use the basic terminology of probability where the sample space is represented as S, and an event like A or B is a subset of this sample space. For instance, when rolling a die, each face number is an outcome and the set of all these faces represents the sample space for the die-rolling experiment.
The probability of an event A occurring, denoted as P(A), is calculated by dividing the number of outcomes in event A by the total number of outcomes in the sample space, assuming all outcomes are equally likely. Moreover, different events like getting one head from two coin tosses or drawing a green card from a shuffled deck can easily be analyzed using these concepts.
When experimenting with drawing cards or rolling dice, tree diagrams and Venn diagrams can also be useful tools for visualizing the possible outcomes and their probabilities. It is important to note that the probability of an event ranges from 0 (the event never happens) to 1 (the event always happens).