Answer: 2/3
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Step-by-step explanation:
The sample space is the set of all possible outcomes.
The sample space for this problem is {1,2,3,4,5,6}
The event space is some portion of the sample space. The event space is the set of items we want to happen. In this case, we want an odd number or we want to roll a 6.
The event space is {1,3,5,6}
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To recap
- event space = {1,3,5,6} = things we want to happen
- sample space = {1,2,3,4,5,6} = list of all possible outcomes
There are a = 4 items in the event space and b = 6 items in the sample space. Therefore, a/b = 4/6 = 2/3 is the probability of getting an odd number or rolling a 6.
2/3 = 0.667 = 66.7% approximately
I'll leave the answer as a fraction to avoid rounding error.