An unfair coin has probability $p$ of coming up heads on a single toss. Let $w$ be the probability that, in $5$ independent tosses of this coin, heads come up exactly $3$ times. If $w=\frac{144}{625},$ then
$p$ must be $\frac{2}{5}$
$p$ must be $\frac{3}{5}$
$p$ must be greater than $\frac{3}{5}$
$p$ is not uniquely determined
there is no value of $p$ for which $w=\frac{144}{625}$