Suppose a man only tells the truth three hours a day. It is the same every week and it is known that the pattern of the truth hours are TFTFT. (which means he may tell the truth at midnight and 2am and 4am, 7am and 11am and 1pm, and so on). On the other 21 hours, he lies. All times between 7pm and 6am inclusive are considered night, 7am to 11am are morning, noon to 4pm are afternoon, and 5pm to 6pm are evening.
He gives the following statements on seven consecutive hours.
I always lie between 3pm and 8pm.
It's morning now.
I lie between 8am and noon and/or the whole night.
I lie the whole afternoon.
Either I lie the whole morning, or it's afternoon now, but not both.
It's somewhere between 9am and 4pm now.
I lie on 1am, 4pm, 8pm and/or midnight.
What are the chances that he lies the whole evening?
What are the chances that none of these statements were spoken in the morning?
What are the chances that he tells at most one true statement between 3pm and 7pm?