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Given the following:

P(shop) = 0.25

P(rob) = 0.02

P(enter-store | !shop, !rob) = 0.01

P(enter-store | shop, !rob) = 0.80

P(enter-store | !shop, rob) = 0.50

P(enter-store | shop, rob) = 0.90

P(point-gun | rob) = 0.70

P(point-gun | !rob) = 0.01

Find:

a) P(enter-store)

b) P(shop | enter-store)

c) P(rob | enter-store)

d) P(shop | enter-store, point-gun)

e) P(rob | enter-store, point-gun)

The problem I'm having is given P(A|B, C), how to extract P(B) or even P(C), and so on.

Can I say: P(shop)P(rob) = .005, then P(enter-store|.005)? How do I get P(enter-store)?

Thanks,

Jay

P(shop) = 0.25

P(rob) = 0.02

P(enter-store | !shop, !rob) = 0.01

P(enter-store | shop, !rob) = 0.80

P(enter-store | !shop, rob) = 0.50

P(enter-store | shop, rob) = 0.90

P(point-gun | rob) = 0.70

P(point-gun | !rob) = 0.01

Find:

a) P(enter-store)

b) P(shop | enter-store)

c) P(rob | enter-store)

d) P(shop | enter-store, point-gun)

e) P(rob | enter-store, point-gun)

The problem I'm having is given P(A|B, C), how to extract P(B) or even P(C), and so on.

Can I say: P(shop)P(rob) = .005, then P(enter-store|.005)? How do I get P(enter-store)?

Thanks,

Jay

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