williamknight4p0t8my
williamknight4p0t8my williamknight4p0t8my
  • 02-07-2019
  • Mathematics
contestada

help me please asap !!!!!!!!!!!!!!!

help me please asap class=

Respuesta :

gmany
gmany gmany
  • 03-07-2019

Answer:

[tex]\large\boxed{\dfrac{5}{11}}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ P(A\ \cup\ B)=P(A)+P(B)-P(A\ \cap\ B).\\\\\text{We have:}\\\\P(A)=\dfrac{4}{11},\ P(B)=\dfrac{3}{11},\ P(A\ \cup\ B)=\dfrac{2}{11}.\\\\\text{Substitute:}\\\\\dfrac{2}{11}=\dfrac{4}{11}+\dfrac{3}{11}-P(A\ \cap\ B)\\\\\dfrac{2}{11}=\dfrac{7}{11}-P(A\ \cap\ B)\qquad\text{subtract}\ \dfrac{7}{11}\ \text{from both sides}\\\\-\dfrac{5}{11}=-P(A\ \cap\ B)\qquad\text{change the signs}\\\\P(A\ \cap\ B)=\dfrac{5}{11}[/tex]

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