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.
$P$ (being frequently involved or being occasionally involved $)=0.461$
(Round to the nearest thousandth as needed.)
(b) Find the probability that the person is female or not involved in charity work at all.
$P($ being female or not being involved $)=$
(Round to the nearest thousandth as needed

Step 1 ：Define the number of people in each category: total people = 2861, frequently involved = 434, occasionally involved = 885, not involved = 1542, females = 1382.

Step 2 ：Calculate the probability for part (a) by adding the number of people frequently involved and occasionally involved, then dividing by the total number of people: \(P(\text{frequently involved or occasionally involved}) = \frac{434 + 885}{2861} = 0.461\).

Step 3 ：Calculate the probability for part (b) by adding the number of females and the number of people not involved, then subtracting the number of females not involved to avoid double counting. Then divide by the total number of people: \(P(\text{female or not involved}) = \frac{1382 + 1542 - 746}{2861} = 0.761\).

Step 4 ：Final Answer: The probability that the person is frequently or occasionally involved in charity work is \(\boxed{0.461}\). The probability that the person is female or not involved in charity work at all is \(\boxed{0.761}\).