Question

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?

Answer 1

22/45

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.