1. **State the problem:** Evaluate the expression $\left(1 - d_1\right)\left(1 - d_2\right)\left(1 - d_3\right)$ given $d_1 = 0.18$, $d_2 = 0.42$, and $d_3 = 0.08$. 2. **Substitute the values:** Replace $d_1$, $d_2$, and $d_3$ with their given values: $$\left(1 - 0.18\right)\left(1 - 0.42\right)\left(1 - 0.08\right)$$ 3. **Simplify each term:** $$0.82 \times 0.58 \times 0.92$$ 4. **Multiply the first two terms:** $$0.82 \times 0.58 = 0.4756$$ 5. **Multiply the result by the third term:** $$0.4756 \times 0.92 = 0.437552$$ 6. **Final answer:** $$\boxed{0.4376}$$ (rounded to four decimal places)