Select the correct answer.

Based on the data in this two-way table, if a girl is randomly selected, what is the probability that she will have above-average grades?

\begin{tabular}{|c|c|c|c|}
\hline Gender/Grade & Below Average & Above Average & Total \\
\hline Boy & 14 & 23 & 37 \\
\hline Girl & 16 & 22 & 38 \\
\hline Total & 30 & 45 & 75 \\
\hline
\end{tabular}

A. 0.29
B. 0.51
C. 0.58
D. 0.60



Answer :

To determine the probability that a randomly selected girl will have above-average grades, follow these steps:

1. Identify the Total Number of Girls:
From the table, the total number of girls is 38.

2. Identify the Number of Girls with Above-Average Grades:
From the table, the number of girls with above-average grades is 22.

3. Calculate the Probability:
The probability is computed by dividing the number of girls with above-average grades by the total number of girls. Thus, the probability [tex]\( P \)[/tex] is:
[tex]\[ P = \frac{\text{Number of girls with above-average grades}}{\text{Total number of girls}} = \frac{22}{38} \][/tex]

4. Convert the Fraction to a Decimal:
Simplifying [tex]\( \frac{22}{38} \)[/tex] results in:
[tex]\[ \frac{22}{38} \approx 0.5789 \][/tex]

Therefore, the probability that a randomly selected girl will have above-average grades is approximately 0.58.

So, the correct answer is:
C. 0.58