How the following equation is calcluated?   I want to know how to calculate p(AIE1) The original question is:  Brett and Margo have each thought about murder- ing their rich Uncle Basil in hopes of claiming their in- heritance a bit early. Hoping to take advantage of Basil’s predilection for immoderate desserts, Brett has put rat poison into the cherries flambe ́ ; Margo, unaware of Brett’s activities, has laced the chocolate mousse with

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How the following equation is calcluated?

 

I want to know how to calculate p(AIE1)

The original question is: 

Brett and Margo have each thought about murder- ing their rich Uncle Basil in hopes of claiming their in- heritance a bit early. Hoping to take advantage of Basil’s predilection for immoderate desserts, Brett has put rat poison into the cherries flambe ́ ; Margo, unaware of Brett’s activities, has laced the chocolate mousse with cyanide. Given the amounts likely to be eaten, the probability of the rat poison being fatal is 0.60; the cyanide, 0.90. Based on other dinners where Basil was presented with the same dessert options, we can assume that he has a 50% chance of asking for the cherries flambe ́ , a 40% chance of order- ing the chocolate mousse, and a 10% chance of skipping dessert altogether. No sooner are the dishes cleared away than Basil drops dead. In the absence of any other evi- dence, who should be considered the prime suspect?

1445581
Probability of asking for cherries flambe, P(E,)= 0.5
Probability of ordering chocolate maousse, P(E,)=0.4
Probability of skipping dessert, P(E,) = 0.1
Let Abe the event of murder of Uncle Basil
then,
P(A/E,)= probability that rat poison mixed in cheried flambe being fatal
= 0.6
P(AIE,)=probability that cyanide mixed in chocolate mousse being fatal
= 0.9
P(AIE,)=probability of Basil death when he skips dessert
%3D
= 0
Transcribed Image Text:1445581 Probability of asking for cherries flambe, P(E,)= 0.5 Probability of ordering chocolate maousse, P(E,)=0.4 Probability of skipping dessert, P(E,) = 0.1 Let Abe the event of murder of Uncle Basil then, P(A/E,)= probability that rat poison mixed in cheried flambe being fatal = 0.6 P(AIE,)=probability that cyanide mixed in chocolate mousse being fatal = 0.9 P(AIE,)=probability of Basil death when he skips dessert %3D = 0
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