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The probabilities for each event are given by the ratio of the area of the event to the total area of 72. For example, Event C is Red Only. So, for the probability of Event C, you have: P(C)=area of red/total area=18/12x6=18/72=1/4=0.25 Are A and B dependent or independent events? Use conditional probabilities to support your conclusion.

The probabilities for each event are given by the ratio of the area of the event to the total area of 72 For example Event C is Red Only So for the probability class=

Respuesta :

Let say that you want to take 1 area. Before the event, the probability of A and B would be:
A= blue and green=  (18/12x6) + (18/12x6) = 36/72
B= green and yellow= (18/12x6) + (18/12x6) = 36/72

If the area that picked is green, then the probability of A and B become
A= blue and green= (18/12x6-1) + (17/12x6-1) = 35/71
B= green and yellow= (17/12x6-1) + (18/12x6-1) = 35/71

Both of the areas of A and B is decreased because they share the probability of green. So A and B would be a dependent event.

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