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P(A) = 1/2

P(B) = 1/4

P(A or B but not both) = 1/3.

Find P(A intersect B)

so far what i have in mind is that , for A to happens, it need to be 1/3 x 1/2 which is 1/6

and for B to happens, it need to be 1/4 x 1/3 which is 1/12. Then i'm stuck here, not sure how should i find the intersect point. Please help.