Drawing a 1, 2, or 3 from 9 cards numbered 1-9, replacing the card,
and drawing a 7, 8, or 9
1/3
3/8
C
1/9
d
1/12

The required probability is option

Step-by-step explanation:

There are a total of 9 cards.

Total number of cases = 9

Let A be the event of choosing 1, 2 or 3.

Total number of favorable cases for event A = 3

Let B be the event of choosing 7, 8 or 9.

Total number of favorable cases for event B = 3

Formula for finding probability of an event E is:

Finding P(A), using the formula:

Now, it is given that the card is replaced, so again total number of cases are 9.

For finding P(B), using the formula:

To find the probability that events A and B both happen, we can simply multiply P(A) and P(B) because these are independent events.