1. **State the problem:** We need to find the probability of event C, denoted as $P(C)$.
2. **Understand the table:** The table shows joint probabilities of events A, B, C with D, E, F. Events A, B, C are mutually exclusive, and so are D, E, F. The totals row at the bottom gives the marginal probabilities for A, B, and C.
3. **Formula:** The probability of event C, $P(C)$, is the sum of all probabilities in column C.
4. **Calculate $P(C)$:** From the table, the values in column C are 0.07 (D and C), 0.06 (E and C), and 0.07 (F and C).
$$P(C) = 0.07 + 0.06 + 0.07$$
5. **Add the values:**
$$P(C) = 0.20$$
6. **Conclusion:** The probability of event C is 0.20.
Probability C 8A9A17
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