The table shows the political party affiliation of each of 67 members of the US Senate in June 2012, and when they are up for reelection.Up for reelection: Democratic Party Republican Party Other TotalNovember 2014 20 13 0 November 2016 10 24 0 Total Suppose that a member of the US Senate is randomly selected. Given that the randomly selected senator is up for reelection in November 2014, what is the probability that this senator is a Democrat? (Enter your probability as a fraction.)

We are given a table with data of 67 members of the US Senate in June 2012 and their affiliated political party and when they are up for reelection.Up for re-election:Democratic PartyRepublican PartyOtherNovember 201420130November 201610240What is the probability that a randomly selected senator is up for reelection in November 2016? What is the probability that a randomly selected senator is a Republican or is up for reelection in November 2014?Suppose that a member of the US Senate is randomly selected. What is the probability that the senator is up for reelection in November 2014, knowing that this senator is a Republican?

How many Members of the Senate are up for re-election each election cycle?Group of answer choices100 percent33 percent75 percent66 percentNone of these

Question 1Select one answer.10 pointsSuppose that the handedness of the last 15 U.S. presidents is as follows:(i) 40% were left-handed (L)(ii) 47% were democrats (D)(iii) If a president is left-handed, there is a 13% chance that the president is a Democrat.What is the probability that a randomly chosen U.S. president is left-handed and a democrat? 0.40 * 0.47 = 0.1880 0.40 * 0.13 = 0.0520 0.47 * 0.13 = 0.0611 0.40/0.47 = 0.8510 0.40/0.13 = 3.0769 0.47/0.13 = 3.6154Question 2Select one answer.10 pointsTwo methods, A and B, are available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time). The following notations are suggested:A—Method A is used.B—Method B is used.L—The skill was learned successfully.A worker learned the skill successfully. What is the probability that he was taught by method A? 0.75 * 0.80 = 0.60 0.80Question 3Select one answer.10 pointsTwo methods, A and B, are available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time). The following notations are suggested:A—Method A is used.B—Method B is used.L—The skill was learned successfully.Which of the following is the correct probability tree for this problem?Question 4Select one answer.10 pointsTwo methods, A and B, are available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time). The following notations are suggested:A—Method A is used.B—Method B is used.L—The skill was learned successfully.Which of the following is the correct representation of the information that is provided to us? P(A) = 0.75, P(B) = 0.25, P(L | A) = 0.80, P(L | B) = 0.95 P(A) = 0.75, P(B) = 0.25, P(A | L) = 0.80, P(B | L) = 0.95 P(A) = 0.75, P(B) = 0.25, P(A and L) = 0.80, P(B and L) = 0.95 P(A | L) = 0.75, P(B | L) = 0.25, P(L | A) = 0.80, P(L | B) = 0.95 P(A and L) = 0.75, P(B and L) = 0.25, P(L | A) = 0.80, P(L | B) = 0.95

There are a total of 220 students who are part of badminton, table tennis and tennis team of the college. Of which 60% of students play table tennis, 20% play tennis and 70% play badminton. It is also noticed that all students who play tennis also play table tennis but not badminton. Now a student is selected at random, what is the probability that he/she is the part of table tennis team only?(Enter the answer correct to 1 decimal place

The number of votes for each of 2 candidates in a local election is shown in the table below. The electorate is divided into 3 different wards.  Ward 1 Ward 2 Ward 3Candidate A 152 84 122Candidate B 100 64 110What is the probability that someone lives in Ward 3 given that they voted for candidate B?