Let a sample space be $S = \{\omega_{1}, \omega_{2}, \ldots, \omega_{6}\}$. Which of the following assignments of probabilities to each outcome is valid?

Outcome	$\omega_1$	$\omega_2$	$\omega_3$	$\omega_4$	$\omega_5$	$\omega_6$
$(a)$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$

(A) For an assignment of probabilities to be valid,it must satisfy two conditions:
$1$. Each probability $P(\omega_i)$ must be such that $0 \le P(\omega_i) \le 1$.
$2$. The sum of all probabilities must be equal to $1$,i.e.,$\sum_{i=1}^{6} P(\omega_i) = 1$.
Checking the given assignment:
$1$. Each probability is $\frac{1}{6}$,which satisfies $0 \le \frac{1}{6} \le 1$.
$2$. The sum of probabilities is $\frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6} = \frac{6}{6} = 1$.
Since both conditions are satisfied,the assignment is valid.