Let a sample space be `S = {omega_1,omega_2, .... ,omega_6}`. Which of the following assignments of probabilities to each outcome are valid?Outcomes `omega_1` `omega_2` `omega_3` `omega_4` `omega_5` `omega_6`
`(a)` `1/6` `1/6` `1/6` `1/6``1/6``1/6`
`(b)` `1` `0` `0` `0``0``0`

Explanation

To determine whether the assignments of probabilities to each outcome in the sample space \( S = \{\omega_1, \omega_2, \omega_3, \omega_4, \omega_5, \omega_6\} \) are valid, we need to follow two key rules of probability:

1. Each probability must be between 0 and 1 (inclusive).
2. The sum of the probabilities of all outcomes must equal 1.

Now, let's analyze each option provided in the question:

### Option (a):
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