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Answer :
Final answer:
The probability of NOT drawing a multiple of 5, given the probability of drawing it is (9)/(45), is 1 - (9/45) = (36/45). This is calculated as the total probability for any set of mutually exclusive, exhaustive events is 1.
Explanation:
In the field of Mathematics, especially in probability, the sum of the probabilities of an event occurring and not occurring is always 1.
If the probability of drawing a multiple of 5 is (9)/(45), then the probability of not drawing a multiple of 5 is 1 - (9/45) = (36/45). Hence, the answer is option 1) (36)/(45).
This happens because the total probability for any given scenario is always 1, and thus if we know the probability of an event occurring, we can subtract that from 1 to find the probability of the event not occurring.
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