1. **Problem:** Find the probability that a randomly chosen fisherman was fishing far from shore and caught bangus. 2. **Formula:** Probability of event $A$ is $P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. 3. **Given:** - Number of fishermen fishing far from shore and caught bangus = 18 - Total fishermen = 50 4. **Calculation:** $$P(\text{Far from shore and caught bangus}) = \frac{18}{50} = 0.36$$ --- 1. **Problem:** Find the probability that a randomly selected participant is female. 2. **Given:** - Number of female participants = 35 - Total participants = 70 3. **Calculation:** $$P(\text{Female}) = \frac{35}{70} = 0.5$$ --- 1. **Problem:** Find the probability that a randomly chosen team is from Tanza 1 given that it won. 2. **Formula:** Conditional probability $P(A|B) = \frac{P(A \cap B)}{P(B)}$. 3. **Given:** - Teams from Tanza 1 that won = 8 - Total teams that won = 14 4. **Calculation:** $$P(\text{Tanza 1} | \text{Won}) = \frac{8}{14} = \frac{4}{7} \approx 0.5714$$ --- 1. **Problem:** Find the probability that a randomly chosen volunteer is a student or collected plastic waste. 2. **Formula:** For events $A$ and $B$, $$P(A \cup B) = P(A) + P(B) - P(A \cap B)$$ 3. **Given:** - Number of students = 40 - Number who collected plastic waste = 45 - Number of students who collected plastic waste = 25 - Total volunteers = 70 4. **Calculation:** $$P(\text{Student or Plastic Waste}) = \frac{40}{70} + \frac{45}{70} - \frac{25}{70} = \frac{60}{70} = \frac{6}{7} \approx 0.8571$$