1. **Stating the problem:** We are asked to find the probability of two events when spinning a spinner with numbers 1 to 8. 2. **Event a: Terpilihnya bilangan faktor dari 35 (Selecting a factor of 35)** - Factors of 35 are numbers that divide 35 exactly: 1, 5, 7, 35. - Since the spinner has numbers 1 to 8, the factors present are 1, 5, and 7. - Total possible outcomes = 8. - Favorable outcomes = 3 (numbers 1, 5, 7). - Probability formula: $$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$ - So, $$P(\text{factor of } 35) = \frac{3}{8}$$ 3. **Event b: Terpilihnya bilangan Kelipatan 3 (Selecting a multiple of 3)** - Multiples of 3 between 1 and 8 are 3 and 6. - Favorable outcomes = 2 (numbers 3, 6). - Probability: $$P(\text{multiple of } 3) = \frac{2}{8} = \frac{1}{4}$$ --- 4. **Stating the problem:** Find the formula for the area of trapezium ABCD with bases AB = $a$ and DC = $b$, and height $t$, by cutting along line BE. 5. **Explanation:** - The trapezium has two parallel sides AB and DC. - The height $t$ is the perpendicular distance between these sides. - By cutting along BE, the trapezium can be divided into two right triangles and a rectangle or rearranged to form a rectangle. 6. **Formula for area of trapezium:** - Area = average of the two bases times the height. - $$\text{Area} = \frac{a + b}{2} \times t$$ 7. **Summary:** - Cutting along BE helps visualize the trapezium as composed of simpler shapes. - Using the properties of these shapes leads to the area formula. **Final answers:** - a) $$P = \frac{3}{8}$$ - b) $$P = \frac{1}{4}$$ - Area of trapezium: $$\text{Area} = \frac{a + b}{2} t$$