the numbers 30 to 74 are in a hat. If the probability of drawing a multiple of 2 is 23/45. What is the probability of not drawing a multiple of two?

22/45

Step-by-step explanation:

Let A be the event of drawing a multiple of 2,

So,

p (A) = 23/45

Now, let A' be the opposite (complementary) event which means not drawing a multiple of 2

From the properties of probability, the sum of an event's probability and its opposite (complementary) event's probability is equal to 1.

p (A) + p (A') = 1

We have to find the probability of not drawing a multiple of two i. e. p (A')

p (A') = 1-p (A)

=1 - 23/45

= (45-23) / 45

=22/45

So the probability of not drawing a multiple of 2 from the hat is 22/45.