2.1.3.2.2  Intersections
2.1.3.2.2  Intersections Intersection

The overlap of two or more events is symbolized by the character \(\cap\).
\(P(A \cap B)\) is read as "the probability of A and B."
Example: Red King
What is the probability of randomly selecting a card from a standard 52card deck that is a red card and a king?
There are 2 kings that are red cards: the king of hearts and the king of diamonds.
\(P(red \cap king)=\dfrac{2}{52}=.0385\)
Example: Female Undergraduate Students
The twoway table below displays the World Campus enrollment from Fall 2015 in terms of level (undergraduate and graduate) and biological sex. What proportion of World Campus students were female and undergraduate students?
Female  Male  Total  

Undergraduate  3814  3428  7242 
Graduate  2213  2787  5000 
Total  6027  6215  12242 
There are 3814 students who are females and undergraduates out of a total of 12242 students.
\(P(F \cap U)=\dfrac{3814}{12242}=0.312\)