What does "expect even one" mean? This is a probability equations, so what p does expect correspond to? Let's make this real concrete, with 122 random bits, y

What does "expect even one" mean? This is a probability equations, so what p does expect correspond to? Let's make this real concrete, with 122 random bits, you can issue a million UUIDv4s every second for the next 100 years and still have a less than one in a million chance that you issued a duplicate. https://lazycackle.com/Probability_of_repeated_event_online_calculator__birthday_problem_.html https://lazycackle.com/Probability_of_repeated_event_online_... n = 5316911983139663491615228241121378304 (2122) p = 0.000001 => m = 3260955271619137 3260955271619137/(100000086400365) => 103