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B _ S Clue
IF YOU LOOK AT THE PICTURE CAREFULLY, THEN YOU CAN NOTICE THAT THE DOORS OF THE BUS ARE MISSING. THAT CLEARLY INDICATES THAT THE DOORS MUST BE ON THE OTHER SIDE OF BUS. HENCE, IF THE BUS IS IN A RIGHT-HAND DRIVING COUNTRY (LIKE IN THE UK AND MOST PARTS OF ASIA), THEN IT MUST BE GOING RIGHT. IF THE BUS IS IN A LEFT-HAND DRIVING COUNTRY (LIKE IN THE US), THEN IT MUST BE GOING LEFT BROWN/BLUE/GREEN (I DON'T KNOW HOW I WOULD PUT IT THOUGH SO IF YOU GUESSED YOUR EYE COLOR YOU GOT IT RIGHT 🙂 ) IF THERE WAS ONLY ONE BLUE-EYED PERSON ON THE ISLAND, THEN THAT PERSON WOULD LOOK AROUND AND SEE THAT THERE IS NO OTHER BLUE-EYED PERSON. SO HE REALIZES THAT HE IS THE ONLY PERSON WITH BLUE EYES ON THE ISLAND AND LEAVES ON THE DAY OF THE ANNOUNCEMENT. IF THERE ARE 2 BLUE-EYED PEOPLE, THEN THEY LOOK AT EACH OTHER. EACH ONE EXPECTS THE OTHER TO LEAVE ON THE DAY OF THE ANNOUNCEMENT. HOWEVER, ON THE NEXT DAY, WHEN THEY REALIZE THAT NEITHER OF THEM LEFT THE ISLAND, THEY WOULD BE ABLE TO DEDUCE THAT BOTH OF THEM HAVE BLUE EYES. THEY BOTH LEAVE THE ISLAND ON THE SECOND DAY. THROUGH MATHEMATICAL INDUCTION, THIS LOGIC CAN BE APPLIED TO THE 100 BLUE-EYED PEOPLE ON THE ISLAND. SO ON THE 100TH DAY, ALL THE 100 BLUE-EYED PEOPLE LEAVE THE ISLAND ONE, THE BUS DRIVER. ON THE 1ST STOP, 5 PEOPLE GET ON. ON THE 2ND STOP, 5 PEOPLE GET OFF AND 10 (TWICE AS MANY AS AT 1ST STOP) PEOPLE GET ON. ON THE 3RD STOP, 10 PEOPLE GET OFF. SO THERE ARE (5 - 5 + 10 - 10) 0 PASSENGERS LEFT, WHICH LEAVES THE BUS DRIVER AS THE ONLY PERSON ON BOARD THE BUS