Question

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.

104. What is the probability that a randomly selected senator is a Republican or is up for reelection in November 2014 ?

Short answer

The probability that a randomly selected senator is a Republican or is up for reelection in November $2014$ is$\frac{57}{67}$.

Step-by-step solution

Step1:Definition of probability

If an experiment can generate N mutually exclusive and equally likely outcomes, n of which are favorable to the occurrence of event A, then the probability of A is denoted by P (A) and is defined as the ratio n N. As a result, the probability of A is given by

Step2:The probability that a randomly selected senator is a Republican 

There are $67$ members in total, with$57$of them being Republicans or running for reelection in November $2014$. As a result, the probability is given by:

$P=\frac{57}{67}$