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Civil trials only require 6 members in a jury. Suppose 30 eligible Ontarians were selected at random to be called for jury duty, and of

Civil trials only require 6 members in a jury. Suppose 30 eligible Ontarians were selected at random to be called for jury duty, and of these 30, 14 are male and 16 are female. The 6 jurors are then selected at random from this group of eligible jurors. Of interest is the number of males that are selected to be jurors.

1) Find the probability that at least half of the jury is male.

2) Suppose the last civil trial had at least 4 men, and the two civil trials prior that also reached out to 30 randomly selected Ontarians with the same proportion of male and female candidates also had a jury with at least 4 men. How likely is this to occur?

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