## Algebra 2 Common Core

$\dfrac{1}{16}$
With the given spinner divided equally into $4$ colors, then each color has probability of $\dfrac{1}{4}$ from being chosen. In $2$ spins, the probability of getting a red and then a yellow is \begin{align*}\require{cancel} P(\text{blue, then blue})&= \dfrac{1}{4}\cdot\dfrac{1}{4} \\\\&= \dfrac{1}{16} .\end{align*} Hence, the probability of getting a red on the first spin and then a yellow in the second spin is $\dfrac{1}{16} .$