Science 5 Quarter 2 Week 3 Revised K-12 Male and Female Reproductive System
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Two Bin System Explained
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
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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