self Maths Puzzle

A bag contains 10 balls numbered from 0 to 9. the balls are such that the person picking a ball out of the bag is equally likely to pick anyone of them. A person picked a ball and replaced it in the bag after noting its number. He repeated this process 2 more times. What is the probability that the ball picked first is numbered higher than the ball picked second and the ball picked second is numbered higher than the ball picked third?

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self Other Question
Four unit squares are chosen at random on a chessboard. What is the probability that three of them are of one colour and fourth is of opposite colour? There are three similar boxes, containing

(i). 6 black and 4 white balls
(ii). 3 black and 7 white balls
(iii). 5 black and 5 white balls, respectively.

If you choose one of the three boxes at random and from that particular box picks up a ball at random, and find that to be black, what is the probability that the ball picked up from the second box