# Congress is made up of the House of Representatives and the senate. Members of the House of Representatives serve two-year terms and represent a district in a state . The number of representatives for each state is determined by population. The total of representatives is set by law at 435. Members of the senate serve six-year terms and represent a state. Each state has 2 senators, for a total of 100 senators.                                         House of Representatives                                                                                                     Political Party    Republican      Democrat      Independent      Total        218                  129                     0                  347     Male        23                    65                      0                     88     Female        241                  194                    0                   435     Total                                        Senate                             Political Party   Republican      Democrat      Independent      Total        47                      30                     2                    79    Male        5                        16                     0                   21     Female       52                      46                     2                   100    Total   (A) Find the probability that a randomly selected representative is female. Find the probability that a randomly selected senator is female.   (B) Compare the probabilities from question A   (C) A representative is selected at random. Find the probability of each event. 1. The representative is male.

Question

Congress is made up of the House of Representatives and the senate. Members of the House of Representatives serve two-year terms and represent a district in a state . The number of representatives for each state is determined by population. The total of representatives is set by law at 435. Members of the senate serve six-year terms and represent a state. Each state has 2 senators, for a total of 100 senators.

House of Representatives

 Political Party Republican      Democrat      Independent      Total        218                  129                     0                  347     Male        23                    65                      0                     88     Female        241                  194                    0                   435     Total

Senate

 Political Party Republican      Democrat      Independent      Total        47                      30                     2                    79    Male        5                        16                     0                   21     Female       52                      46                     2                   100    Total

(A) Find the probability that a randomly selected representative is female. Find the probability that a randomly selected senator is female.

(B) Compare the probabilities from question A

(C) A representative is selected at random. Find the probability of each event.

1. The representative is male.

2. The representative is a Republican.

3. The representative is male given that the representative is a republican.

4. The Representative is Female and a Democrat.

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