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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 which scenario is more likely, we first need to calculate the number and the probability of households with 1 pet and no children, and compare it to the number and probability of households with another specific condition.

From the table:
- The number of households with 1 pet and no children is 53.
- The number of households with 2 pets and children is 85.

Given these numbers, the total number of households in the survey is 335.

Now, let's look at the likelihoods:
1. Number of households with 1 pet and no children: 53
- Total households = 335
- Probability = Number of households with 1 pet and no children / Total households
- Probability = 53 / 335
- Probability ≈ 0.1582 (or 15.82%)

2. Number of households with 2 pets and children: 85
- Total households = 335
- Probability = Number of households with 2 pets and children / Total households
- Probability = 85 / 335
- Probability ≈ 0.2537 (or 25.37%)

Comparing the two probabilities:
- The probability of a household having 1 pet and no children is approximately 15.82%.
- The probability of a household having 2 pets and children is approximately 25.37%.

Since the probability of having 2 pets and children (25.37%) is higher than the probability of having 1 pet and no children (15.82%), we can conclude that a customer is more likely to have 2 pets and children than to have 1 pet and no children.

Therefore, the completed statement should be:
A customer is more likely to have 1 pet and no children than they are to have a different scenario.