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Problem 102 Medium Difficulty

Use the information in the Table 3.19 to answer the next eight exercises. 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.

What is the probability that a randomly selected senator is up for reelection in November 2016?




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Klarin F.

November 1, 2020

Video Transcript

Hi. We're looking at question 102 That asked, What is the probability that a randomly selected senator is up for re election in November 2016 and it refers to table 3.19 which is right above it in the textbook. So we need to find out how many senators total were up for re election, both in the Democratic and the Republican Party. And there were 10 in the Democratic Party and there were 24 in the Republican Party. So that's how many of our favorable outcomes that we have and remember probabilities the favorable outcomes divided by all possible outcomes. And in the question that tells us that there were 67 on senators questioned. So that makes our total possible outcome 67. So we will add the 10 plus the 24 is this 34 and we can divide by the 67 total. So our final answer is 0.51 and we get that just by dividing 34 divided by 67. Thank you