Hard Puzzles

Ring City has 100 houses arranged in a circle. Alice starts at her own house, and every day she randomly moves to one of the two adjacent houses, each with 50% probability.She repeats this until she has visited all of the houses.
Which house(s) is/are the most likely to be visited last?
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Two women were selling marbles in the market place
– One at three for a paisa and
– Other at two for a paisa.One day both of them were obliged to return home when each had thirty marbles unsold. They put together the two lots of marbles and handing them over to a friend asked her to sell them at five tot 2 paise. According to their calculation, after all. 3 for one paisa and 2 for one paisa was exactly the same as 5 for 2 paise. Now they were expecting to get 25 paise tor the marbles, as they would have got. if sold separately But much to their surprise they got only 24 paise tor the entire lot.
Now where did the one paisa go? Can you explain the mystery?
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Andrew is shuffling a pack of 54 cards in total and after some time, he takes out a joker card.
Now,
He splits the remaining cards into two piles. Can you find out the probability where one of the piles has a sequence of card from A to K in order?Submit Solution 400 views
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