Suppose that four attorneys A₁, A2, A3, and A₁ deal with all the criminal cases in a district court. The following table gives the percentages of the cases that each of these attorneys handles, and also the probability that each loses the case; Attorney A₁ A₂ AAA A3 A4 Probability of handling the case 0.40 0.25 0.25 0.10 Probability of losing the case 0.15 0.30 0.20 0.40 Suppose that a criminal case was lost in the court. Find the probability that this case was handled by Attorney A₂.
Suppose that four attorneys A1, A2, A3, and A4 deal with all the criminal cases in
a district court. The following table gives the percentages of the cases that each of
these attorneys handles, and also the
Attorney Probability of Probability of
handling the case losing the case
A1 0.40 0.15
A2 0.25 0.30
A3 0.25 0.20
A4 0.10 0.40
Suppose that a criminal case was lost in the court. Find the probability that this
case was handled by Attorney A2.
Here the given table is
Let
L denotes losing the case
Suppose that a criminal case was lost in the court then the probability that this case was handled by Attorney A2 Is
P(A2/L)= (p(A2)*P(L/A2))/P(L)
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