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 $\omega_1$ $\omega_2$ $\omega_3$ $\omega_4$ $\omega_5$ $\omega_6$ $(b)$ $1$ $0$ $0$ $0$ $0$ $0$
| Outcome | $\omega_1$ | $\omega_2$ | $\omega_3$ | $\omega_4$ | $\omega_5$ | $\omega_6$ |
|---|---|---|---|---|---|---|
| $(b)$ | $1$ | $0$ | $0$ | $0$ | $0$ | $0$ |
- AThe assignment is invalid because the sum of probabilities is not $1$.
- BThe assignment is valid.
- CThe assignment is invalid because some probabilities are $0$.
- DThe assignment is invalid because the probability of $\omega_1$ is $1$.
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DifficultMHT CET 2019
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