The following table shows the party affiliation and member type for the 112th session of the U.S. Congress. Compute the following probabilities as exact fractions. Answer A through D below.
Senator | Representative | Total | |
Republican | 47 | 241 | 288 |
Democrat | 51 | 191 | 242 |
Independent | 2 | 0 | 2 |
Total | 100 | 432 | 532 |
A) What is the probability a randomly selected member of the 112th Congress is NOT a democrat?
B) What is the probability that a randomly selected member of the 112th Congress is an Independent Representative?
C) What is the probability that a randomly selected Republican is a Senator?
D) What is the probability that a randomly selected member of the 112th Congress is a Democrat, given that they are a Representative?
TOPIC: Use of the classical definition and the Conditional law of probability.
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