Subjects probability

Probability C 8A9A17

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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.