1)I am not sure I fully understand why we are concerned with collisions and the probability of one happening. How does it apply in real world situations? What is wrong with two numbers having the same hash value? I thought the whole point of hash functions is that they are not invertible and it is likely that two values will have the same output.
2) I honestly just thought that the whole probability of two people having the same birthday was pretty interesting and at first unexpected. But as you observe it further, then you see why it is so plausible.
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