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6. Monika Mathematics teacher travels to work the same route every day. At the intersection, she needs to cross two streets X and Y.

6. Monika Mathematics teacher travels to work the same route every day. At the intersection, she needs to cross two streets X and Y. Depending on the traffic light, the teacher first crosses street X and turns to the chocolate shop, then crosses street Y, or first crosses street Y and turns to the bun tray, and then this crosses street X. Find the probability that the teacher enjoyed chocolate twice a week if she is known to work 6 days a week.

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