P(A∪B)=³/₄=0.75
P(A∩B)=0.2
P(B')=²/₃
P(B')=1-P(B)
²/₃=1-P(B)
P(B)=1-²/₃=¹/₃
P(A∪B)=P(A)+P(B)-P(A∩B)
0.75=P(A)+¹/₃-0.2
[tex]0.95=P(A)+\frac13 /-\frac13\\\\\frac{95}{100}-\frac13=P(A)\\\\P(A)=\frac{285}{300}-\frac{100}{300}\\\\P(A)=\frac{185}{300}=\frac{37}{60}[/tex]
[tex]P(A/B)=P(A)-P(AnB)=\frac{37}{60}-\frac2{10}=\frac{37}{60}-\frac{12}{60}=\frac{25}{60}=\frac5{12}[/tex]
