nswer:
cvents A and B are independent because P(A|B) = P(A)
pxplanation:
f aA and B are independent, then:
![P(A\text{ }and\text{ }B)=P(A)\cdot P(B)](https://img.qammunity.org/2023/formulas/mathematics/college/3tiznsfxfisgvb00l2t7iv5pzw12543z48.png)
In this case,
P(A) = 0.4, P(B) = 0.2
If we multiply:
![P(A)\cdot P(B)=0.4\cdot0.2=0.08](https://img.qammunity.org/2023/formulas/mathematics/college/s2ucj7ksh2kk7s6jizve2lbm4k382umyvn.png)
Which verify what the problem tell us.
Next, the definition of two independent events is P(A|B) = P(A)