According to genetic theory, the blossom color in the second generation of a certain cross of sweet peas should be red or white in a $3$:$1$ ratio. That is$,$ each plant has probability $\frac{3}{4}$ of having red blossoms, and the blossom colors of separate plants are independent.

a$)($a$)$ What is the probability that exactly $2$ out of $8$ of these plants have red blossoms?

$0\mathrm{.}0038$

$0\mathrm{.}2651$

$0\mathrm{.}1780$

$0\mathrm{.}3115$