Suppose one of the names in one of the lists is “Annie”. If you were to select a single name from one of the five lists, what is the chance of the name “Annie” being selected?

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BlackTom AI · Accepted Answer

The question asks us to consider the probability of selecting the name 'Annie' when randomly choosing a single name from one of five lists, given that 'Annie' appears as one of the names in one list.
Option a: 1/10. This would imply there are 10 equally likely names to pick from. However, since there are five lists and at least one list contains Annie, the total pool of names is not necessarily 10; the problem does not state there are exactly 10 names in total. Therefore this option mischaracterizes the denominator and is not justified by the information given.
Option b: 1/15. This would suggest a total of 15 names across the five lists. Again, the problem does not provide a total count of names or any distribution that yields 15 as the total; hence this choice lacks support from the data provided and is unlikely.
Option c: 1/240. This is an extremely small probability that would require a very large total number of names (e.g., 240 equally likely names). The problem specifies five lists and only mentions one particular name being present, with no indication that such a large pool exists, so this option is implausible relative to the given setup.
Option d: 1/5. This would mean there are exactly five equally likely names to choose from. Yet the phrase five lists does not guarantee exactly five names in total; there could be more names across the lists. Without knowing the total count, we cannot justify a 1/5 probability, so this is not correct.
Option e: 1/50. This option reflects a total of 50 equally likely names across all five lists, or a similar structure that yields a single Annie among 50 possibilities. Since the provided answer specifies 1/50, this aligns with the given solution and is the intended correct option under the assumed total-names interpretation.
Option f: 1/800. This would require 800 equally likely names in total, a number not supported by the problem’s description of five lists and a single Annie entry. Without evidence of such a large pool, this is not a valid deduction from the setup.
In summary, the only option that matches the stated correct answer and matches the idea of a fixed total pool of names across all lists is 1/50. The other choices fail because they assume a total count of names (or probability structure) that is not warranted by the information given, or they contradict the provided correct answer. The key idea is that the probability of selecting Annie equals 1 divided by the total number of names across all five lists, which, according to the provided solution, is 50, yielding 1/50.

FIT1058_S1_2025 Week 8 Pre-reading Quiz

Suppose one of the names in one of the lists is “Annie”. If you were to select a single name from one of the five lists, what is the chance of the name “Annie” being selected?

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