Answer:
A . P(A n B)= [tex]\frac{11}{15}[/tex]
Step-by-step explanation:
Step :-
we know that [tex]P(A U B) = P(A) + P(B) - P(A n B)[/tex] ........(1)
given that
[tex]P(A) = \frac{2}{3}[/tex]
[tex]P(B) = \frac{4}{5}[/tex] , [tex]P(AUB) = \frac{11}{15}[/tex]
substitute all these values in equation (1)
we get [tex]\frac{11}{15} = \frac{2}{3} + \frac{4}{5} - P(A n B)[/tex]
[tex]P(A n B) = \frac{10+12}{15} - \frac{11}{15}[/tex]
[tex]P(A n B) = \frac{22-11}{15}[/tex]
[tex]P(AnB) = \frac{11}{15}[/tex]
