Question

The events $A_{1} ,A_{2} and A_{3}$ form a partition of sample space. If $P(A_{1} )=P(A_{2} )=P(A_{3} )=\frac{1}{3}$, $P(\frac{B}{A_{1} } )=\frac{2}{7} ,P(\frac{B}{A_{2} } )=\frac{4}{9} ,P(\frac{B}{A_{3} } )=\frac{1}{5} ,find P(\frac{A_{1} }{B} ).$.

Answer 1

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