SOLVED: There are two bins: Bin 1 initially has 3 white balls and 1 red ball. Bin 2 has 2 white balls. In every round, a ball is selected uniformly at random from each bin and these two balls are swapped. Let p(n) be the probability that the red ball is in Bin 1 at the beginning of the n-th round.Write a recurrence relation for p(n) (5 points). Use "guess and check" and prove by induction to solve this recurrence. Don't forget to label the base case (BC), inductive hypothesis (IH), and inductive

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Write a program that simulates inventory bins in a warehouse.Each bin holds a number of the same type of parts.The program should use a structure that keeps the following data:- Description of the part kept in the bin- Number of parts in the binThe program should have an array of 10 bins, initialized with the following data:————————————————–Part Description Number of Parts in the BinValve 10Bearing 5Bushing 15Coupling 21Flange 7Gear

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