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Chapter 3: Q. 104 (page 227)

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

Expert verified

The probability that a randomly selected senator is a Republican or is up for reelection in November 2014 is5767.

Step by step solution

01

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

02

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

There are 67 members in total, with57of them being Republicans or running for reelection in November 2014. As a result, the probability is given by:

P=5767

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