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The table shows the results from a survey of 335 randomly selected households with pets. This survey was conducted by a new pet store that is opening nearby.

\begin{tabular}{|l|l|l|l|}
\hline
& Have Children & Do Not Have Children & Total \\
\hline
1 pet & 38 & 53 & 91 \\
\hline
2 pets & 85 & 41 & 126 \\
\hline
3 or more pets & 46 & 72 & 118 \\
\hline
Total & 169 & 166 & 335 \\
\hline
\end{tabular}

The pet store uses the data to make decisions about inventory. Complete the given statement:
A customer is more likely to have 1 pet and no children than they are to have [tex]$\square$[/tex].


Sagot :

To determine the correct answer, let's analyze the given probabilities.

First, we look at the probability that a randomly selected household will have 1 pet and no children. From the table, we can see that there are 53 such households out of the total 335 surveyed households.

The probability of having 1 pet and no children is calculated as follows:
[tex]\[ P(\text{1 pet and no children}) = \frac{53}{335} \approx 0.1582 \][/tex]

Next, let's consider the probability that a randomly selected household will have 2 pets and no children. From the table, there are 41 households with 2 pets and no children out of the total 335 surveyed households.

The probability of having 2 pets and no children is calculated as follows:
[tex]\[ P(\text{2 pets and no children}) = \frac{41}{335} \approx 0.1224 \][/tex]

Comparing these two probabilities, we can see that:
[tex]\[ P(\text{1 pet and no children}) \approx 0.1582 > P(\text{2 pets and no children}) \approx 0.1224 \][/tex]

Therefore, the customer is more likely to have 1 pet and no children than they are to have 2 pets and no children.

Complete the statement:
A customer is more likely to have 1 pet and no children than they are to have 2 pets and no children.