Let a sample space be S = {omega_{1}, omega_{ | vedclass

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(B) For an assignment of probabilities to be valid,it must satisfy two conditions:$1$. Each probability $P(\omega_i)$ must satisfy $0 \le P(\omega_i)

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The assignment is valid.

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(B) For an assignment of probabilities to be valid,it must satisfy two conditions:$1$. Each probability $P(\omega_i)$ must satisfy $0 \le P(\omega_i) \le 1$.$2$. The sum of all probabilities must be equal to $1$,i.e.,$\sum_{i=1}^{6} P(\omega_i) = 1$.In the given assignment $(b)$:$P(\omega_1) = 1, P(\omega_2) = 0, P(\omega_3) = 0, P(\omega_4) = 0, P(\omega_5) = 0, P(\omega_6) = 0$.Check condition $1$: All values are between $0$ and $1$ (inclusive).Check condition $2$: Sum $= 1 + 0 + 0 + 0 + 0 + 0 = 1$.Since both conditions are satisfied,the assignment is valid.

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 $\omega_1$ $\omega_2$ $\omega_3$ $\omega_4$ $\omega_5$ $\omega_6$

$(b)$ $1$ $0$ $0$ $0$ $0$ $0$

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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 $\omega_1$ $\omega_2$ $\omega_3$ $\omega_4$ $\omega_5$ $\omega_6$ $(b)$ $1$ $0$ $0$ $0$ $0$ $0$