#### Answer

$\frac{15}{1024}$

#### Work Step by Step

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