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Hi, nice preentation
Do like completing the table with Totals for more clarity:
Favor Oppose Total
Democrat 270 130 400
Republican 115 220 335
Other 40 85 125
total 425 435 860
a. P(a randomly selected person favors the death penalty) = 425/860
b. P(a randomly selected person is a democrat given that they favor the death penalty) 270/425
c.P(probability that a randomly selected person favors the death penalty given that they are a republican) 115/335