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The given statement is:

The given table 5.1 is on page 196 is shown below:

In each sample, only one official can be chosen at a time.

As a result, the following consequences are possible:

$GLS,GLA,GLT,GAT,GSA,GST,LSA,LST,SAT,LAT$

A simple random sample with no replacement is utilized to choose the three of the five officials.

The number of positive outcomes divided by the total number of possible outcomes is the likelihood.

GAT is a possible consequence out of a total of ten possible outcomes.

As a result, a sample of the governor, attorney general, and treasurer has a chance of:

$\frac{1}{10}=0.1$.

Possible outcomes of the probability that the governor and treasurer are:

GLT, GST, GAT

As a result, a sample that includes the governor and treasurer has a probability of:

$\frac{3}{10}=0.3$

Possible outcomes of the probability that the governor and treasurer are:

GLS, GLA, GLT, GAT, GSA, GST

As a result, a sample that includes the governor is included in the sample has a probability of:

$\frac{6}{10}=0.6$