A Pair of Fair Dice Is Tossed $P ( A|B )$

question 43

Essay

A pair of fair dice is tossed. Events A and B are defined as follows.
A: {The sum of the dice is 7}
B: {At least one of the numbers is 3} Find $P ( A|B )$ and $P ( B \mid A )$

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Definitions:

Sexual Behaviors

Actions or practices related to the expression of sexuality and sexual intimacy.

Verbal Ability

The capacity to use language effectively, including understanding, composing, and expressing oneself with words.

College Entrance Tests

Standardized exams that assess a high school student's readiness for college-level work, such as the SAT and ACT.

Stereotypical Male Advantage

The belief or stereotype that men have inherent advantages over women in various aspects, often without basis in fact, stemming from societal norms and biases.