Respuesta :
Answer:
P(A ∩ B) = [tex] \frac{11}{15}[/tex]
Step-by-step explanation:
If P(A)=2/3, P(B)=4/5, and P(A U B) =11/15
we need to find out P(A ∩ B)
P(A U B) = P(A) + P(B) - P(A ∩ B)
Now we add P(A ∩ B) on both sides and subtract P(A U B) from both sides
P(A ∩ B) = P(A) + P(B)- P(A U B)
now we plug in the values
P(A ∩ B) = [tex]\frac{2}{3} + \frac{4}{5} - \frac{11}{15}[/tex]
Make the denominators same . LCD is 15
P(A ∩ B) = [tex]\frac{10}{15} + \frac{12}{15} - \frac{11}{15}[/tex]
P(A ∩ B) = [tex]\frac{22}{15}-\frac{11}{15}[/tex]
P(A ∩ B) = [tex] \frac{11}{15}[/tex]
