AMC10 2027 - Self-practice Set 6 Question 1

Question 1

Six beads, three red, two white, and one blue, are arranged randomly in a line. What is the probability that no neighboring beads have the same color?

$\frac1{12}$
$\frac1{10}$
$\frac16$
$\frac13$
$\frac12$