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:

Hans Eysenck

A psychologist known for his work in the field of personality theory, emphasizing the genetic basis of personality and intelligence.

Neurotic

Refers to an individual's tendency to experience negative emotional states, such as anxiety, depression, or anger, more frequently or intensely than what is considered normal.

Identical Twins

Twins who originate from a single fertilized egg that splits and develops into two embryos, sharing the same genes and often having very similar appearances and traits.

Nescience

Lack of knowledge or awareness; ignorance.