What is the probability that a randomly selected pet is a female puppy?

\begin{tabular}{|l|c|c|c|}
\cline { 2 - 4 } \multicolumn{1}{c|}{} & Male & Female & Total \\
\hline Kitten & 6 & 13 & 19 \\
\hline Puppy & 5 & 2 & 7 \\
\hline Total & 11 & 15 & 26 \\
\hline
\end{tabular}

Express the probability as a percent rounded to the nearest tenth of a percent.

Enter your answer in the box:
[tex]\[ \square \% \][/tex]



Answer :

To determine the probability that a randomly selected pet is a female puppy, we need to follow these steps:

1. Identify the total number of pets:
According to the given table, the total number of pets is calculated by adding all entries in the 'Total' column.

[tex]\[ \text{Total number of pets} = 19 + 7 = 26 \][/tex]

2. Identify the number of female puppies:
According to the table, the number of female puppies is listed specifically in the row for puppies under the 'Female' column.

[tex]\[ \text{Number of female puppies} = 2 \][/tex]

3. Calculate the probability:
The probability of selecting a female puppy is given by the ratio of the number of female puppies to the total number of pets. We can then convert this probability to a percentage.

[tex]\[ \text{Probability} = \frac{\text{Number of female puppies}}{\text{Total number of pets}} = \frac{2}{26} \][/tex]

4. Convert the fraction into a percentage:
To find the percentage, multiply the fraction by 100.

[tex]\[ \text{Probability as a percentage} = \left( \frac{2}{26} \right) \times 100 \][/tex]

5. Simplify and compute the percentage:
Perform the division and multiplication operation.

[tex]\[ \frac{2}{26} \approx 0.0769 \][/tex]

[tex]\[ 0.0769 \times 100 = 7.69 \][/tex]

6. Round to the nearest tenth of a percent:
According to the requirement, we need to round the result to the nearest tenth of a percent.

[tex]\[ 7.69\% \approx 7.7\% \][/tex]

Thus, the probability that a randomly selected pet is a female puppy, when expressed as a percent rounded to the nearest tenth of a percent, is:

[tex]\[ \boxed{7.7\%} \][/tex]