Find \(P(B/A)\) if \(P(A \cap B)=0.3\) and \(P(A')=0.2\)

Given that for two events A and B, \(P(B) = 0.4\), \(P(A/B) = 0.3\) and \(P(A \cup B) = 0.8\). Find \(P(A)\)

Use the adjacent Venn diagram to find:

i) \(P(B/A')\)

ii) \(P(A/B')\)

Given the adjacent two - way table, then \({\rm{P}}\left( {{\rm{A/B}}} \right) = \,\,?\)

If \({\rm{P}}\left( {{\rm{A}} \cap {\rm{B}}} \right) = 0.3\) and \({\rm{P}}\left( {\rm{A}} \right) = 0.5\) then \({\rm{P}}\left( {{\rm{B/A}}} \right) = \,\,?\)

If \(P(A \cap B) = 0.3\) and \(P(B)=0.4\) then \(P(A/B)=\)?

Complete the following two way table and determine \(P(A/B)\)

\[\begin{array}{ | c | c | c | c | }\hline  & \qquad A\qquad & \qquad A'\qquad &   \\
\hline \qquad B \qquad & 3 & & \qquad 7 \qquad  \\
\hline B' & 5 & & 6 \\
\hline  & 8 &5 &  \\
\hline \end{array}\] 

If \(P\left( {{\rm{A}} \cap {\rm{B}}} \right) = 0.2\) and \(P\left( {\rm{B}} \right) = 0.5\) then \(P\left( A/B \right) = ?\)

Given the adjacent two - way table then \({\rm{P}}\left( {{\rm{A/B}}} \right) = \,\,?\)

Given that \({\rm{P}}\left( {{\rm{A}} \cap {\rm{B}}} \right) = 0.2\) and \({\rm{P}}\left( {{\rm{B'}}} \right) = 0.3\) then \({\rm{P}}\left( {{\rm{A/B}}} \right) = \,\,?\)

Given the adjacent two - way table, then \({\rm{P}}\left( {{\rm{B/A}}} \right) = \,\,?\)

If \({\rm{P}}\left( {{\rm{A}} \cap {\rm{B}}} \right) = 0.3\) and \({\rm{P}}\left( {\rm{A}} \right) = 0.4\) then \({\rm{P}}\left( {{\rm{B/A}}} \right) = \,\,?\)