If $\mathrm { P } ( \mathrm { A } ) = 0.25 , \mathrm { P } ( \mathrm { B } ) = 0.8$, and $\mathrm { P } ( \mathrm { A } \& \mathrm {~B} ) = 0.23$, are $\mathrm { A }$ and $\mathrm { B }$ independent events? How can you tell?

Name: If $\mathrm { P } ( \mathrm { A } ) = 0.25 , \mathrm { P } ( \mathrm { B } ) = 0.8$, and $\mathrm { P } ( \mathrm { A } \& \mathrm {~B} ) = 0.23$, are $\mathrm { A }$ and $\mathrm { B }$ independent events? How can you tell?
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ext { No, since } \mathrm { P } ( \mathrm { A } ) \cdot \mathrm { P } ( \mathrm { B } ) eq \mathrm { P } ( \mathrm { A } \& \mathrm {~B} )

If P(A)=0.25,P(B)=0.8\mathrm { P } ( \mathrm { A } ) = 0.25 , \mathrm { P } ( \mathrm { B } ) = 0.8P(A)=0.25,P(B)=0.8

If $\mathrm { P } ( \mathrm { A } ) = 0.25 , \mathrm { P } ( \mathrm { B } ) = 0.8$