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 What is the probability that a randomly selected senator is up for reelection in November 2016? (Enter your probability as a fraction.)
Question
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 What is the probability that a randomly selected senator is up for reelection in November 2016? (Enter your probability as a fraction.)
Solution
To find the probability that a randomly selected senator is up for reelection in November 2016, we need to divide the total number of senators up for reelection in 2016 by the total number of senators.
From the table, we can see that there are 10 Democratic Party senators and 24 Republican Party senators up for reelection in November 2016. So, the total number of senators up for reelection in 2016 is 10 + 24 = 34.
The total number of senators is 67.
Therefore, the probability that a randomly selected senator is up for reelection in November 2016 is 34/67.
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