Final answer:
Without specific numerical values or relationships provided, it is not possible to determine the sizes of areas A1, A2, and A3 in relation to one another. A comparison would require additional context, such as geometric formulas or algebraic expressions that define each area.
Step-by-step explanation:
The student's question involves comparing the sizes of three areas, labeled A₁, A₂, and A3. Without specific information about the values of these areas, it's impossible to provide a definitive answer to which option is correct. To determine the correct option, one would typically either be given numerical values for each of the areas or a geometric or algebraic relationship between them. For example, if these areas were of geometric shapes, the student might use formulas for the areas of those shapes to make the comparison. If they are algebraic expressions, the student would use inequality rules to compare the expressions.
If we consider common logic referenced in the question's examples, such as if a is more than b, and b is more than c, then a is more than c, we can apply this transitive property to compare areas if given a similar relationship. Additionally, the question references comparing probabilities and understanding distributions in probability theory, which may also involve using inequalities to compare values.
Ultimately, without additional context or numerical data, it is not possible to determine the correct answer from the options provided. The student would need to review the information given in their problem or lesson to make an accurate comparison of the areas A₁, A₂, and A3.