The numbers 30 to 74 are in a hat. The probability of drawing a multiple of 5 is \(\frac{9}{45}\). What is the probability of NOT drawing a multiple of 5?

1) \(\frac{36}{45}\)
2) \(\frac{37}{45}\)
3) \(\frac{38}{45}\)
4) \(\frac{39}{45}\)

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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The numbers 30 to 74 are in a hat. The probability of drawing a multiple of 5 is \(\frac{9}{45}\). What is the probability of NOT drawing a multiple of 5?1) \(\frac{36}{45}\) 2) \(\frac{37}{45}\) 3) \(\frac{38}{45}\) 4) \(\frac{39}{45}\)

Answer :

Final answer:

Explanation:

Other Questions

The numbers 30 to 74 are in a hat. The probability of drawing a multiple of 5 is \(\frac{9}{45}\). What is the probability of NOT drawing a multiple of 5?

1) \(\frac{36}{45}\)
2) \(\frac{37}{45}\)
3) \(\frac{38}{45}\)
4) \(\frac{39}{45}\)