Chapter 10 Counting Methods and Probability - 10.5 Find Probabilities of Independent and Dependent Events - 10.5 Exercises - Skill Practice - Page 721: 12

$\frac{15}{1024}$

These events are independent. There are $16$ equally sized fields: $4$ are yellow and green, $3$ are blue, and $5$ are red. Hence $P(\text{blue, then green, then red})=P(blue)P(green)P(red)=\frac{3}{16}\frac{4}{16}\frac{5}{16}=\frac{15}{1024}$