The Student Economics Society is looking to recruit a new chairperson and is analyzing data from 410 candidates regarding their gender identity and prior experience. They are considering whether to require previous involvement in the society for candidacy. The document outlines questions about the probabilities of prior experience among self-identified women and men candidates.

1. The Student Economics Society plans to recruit a new chairperson. Data collected on
membership of 410 possible candidates features information on gender identity and past
experience working within the society. The Society is debating whether to put a requirement of
prior society involvement in order to be considered for chairperson. The available data on the
candidates are shown below: i. What is the probability that a candidate has no prior experience,
i.e., P ( U ) ? ii. What is the conditional probability that a candidate that self-identifies as woman
has no prior experience, i.e., ? iii. What is the conditional probability that a candidate that self-
identifies as man has no prior experience, i.e. P ( U M ) ? iv. Is there an equal chance that a
potential chairperson is someone who self-identifies as, a woman versus someone who self-
identifies as, a man? Interpret.