The table below shows the results of a survey that asked 2861 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (d). $\begin{array}{rcccc} & \text { Frequently } & \text { Occasionally } & \text { Not at all } & \text { Total } \\ \text { Male } & 228 & 455 & 796 & 1479 \\ \text { Female } & 206 & 430 & 746 & 1382 \\ \text { Total } & 434 & 885 & 1542 & 2861\end{array}$ (a) Find the probability that the person is frequently or occasionally involved in charity work. $\mathrm{P}$ (being frequently involved or being occasionally involved) $=$ (Round to the nearest thousandth as needed.)

Step 1 ：To find the probability that a person is frequently or occasionally involved in charity work, we need to add the number of people who are frequently involved and the number of people who are occasionally involved, and then divide by the total number of people surveyed.

Step 2 ：Let's denote the number of people who are frequently involved as \(frequently\_involved\), the number of people who are occasionally involved as \(occasionally\_involved\), and the total number of people surveyed as \(total\_people\).

Step 3 ：From the table, we have \(frequently\_involved = 434\), \(occasionally\_involved = 885\), and \(total\_people = 2861\).

Step 4 ：The probability is then calculated as \(\frac{frequently\_involved + occasionally\_involved}{total\_people}\), which is approximately 0.461.

Step 5 ：Final Answer: The probability that a person is frequently or occasionally involved in charity work is approximately \(\boxed{0.461}\).