![[5 marks] Say we have m balls numbered from 1 to m, and we have n bins numbered from 1 to n. We are throwing these balls one by one into the bins. When we throw a ball, it goes with equal probability of 1/n into any of the n bins. What is the expected number of balls in bin number 1 after throwing all m balls into the bins?](https://media.cheggcdn.com/media%2F599%2F59974035-589e-4652-95d9-86c3922bc8a3%2Fphp99mrpN.png)
[5 marks] Say we have m balls numbered from 1 to m, and we have n bins numbered from 1 to n. We are throwing these balls
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![[5 marks] Say we have m balls numbered from 1 to m, and we have n bins numbered from 1 to n. We are throwing these balls one by one into the bins. When we throw a ball, it goes with equal probability of 1/n into any of the n bins. What is the expected number of balls in bin number 1 after throwing all m balls into the bins?](https://media.cheggcdn.com/media%2F599%2F59974035-589e-4652-95d9-86c3922bc8a3%2Fphp99mrpN.png)
[5 marks] Say we have m balls numbered from 1 to m, and we have n bins numbered from 1 to n. We are throwing these balls
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