For Two Events $A$ And $B , P ( A ) = \frac { 3 } { 4 } , P ( B ) = \frac { 2 } { 3 }$

question 229

Multiple Choice

For two events, $A$ and $B , P ( A ) = \frac { 3 } { 4 } , P ( B ) = \frac { 2 } { 3 }$ , and $P ( B \mid A ) = \frac { 5 } { 6 }$ . Find $P ( A \cap B )$ .

• A) \(\frac { 9 } { 10 }\)
• B) \(\frac { 1 } { 2 }\)
• C) \(\frac { 5 } { 9 }\)
• D) \(\frac { 5 } { 8 }\)

---

Definitions:

Reaction Formation

A defense mechanism in which unacceptable thoughts or desires are expressed as their opposites, often to hide one's true feelings.

Great Admiration

A feeling of profound respect and deep appreciation for someone or something's qualities or achievements.

Homosexual Desires

Sexual attraction or desire between members of the same sex.

Defense Mechanism

Psychological strategies brought into play by the unconscious mind to manipulate, deny, or distort reality in order to defend against feelings of anxiety and unacceptable impulses.