Question

An experiment consists of drawing a ball from a box which contains nine balls numbered 1 to 9. The sample space of equally likely simpleevents is {1, 2, 3, 4, 5, 6, 7, 8, 9). What is the probability of the event associated with the outcome being an even number?

a-5/9
b-7/9
c-4/9
d-3/9

Answer 1

The probability of drawing an even-numbered ball from a box with balls numbered from 1 to 9 is 4/9 since there are four even numbers (2, 4, 6, 8) within the sample space of nine possible outcomes.

Step-by-step explanation:

The question is asking for the probability of drawing an even-numbered ball from a box containing nine balls numbered 1 through 9. The sample space S for this experiment is {1, 2, 3, 4, 5, 6, 7, 8, 9}. The even numbers in this sample space are 2, 4, 6, and 8, so event A, representing even-numbered outcomes, is {2, 4, 6, 8}. To calculate the probability of event A, denoted P(A), we count the number of even-numbered outcomes (which is 4) and divide by the total number of outcomes in the sample space (which is 9), resulting in P(A) = 4/9. Therefore, the correct answer is c-4/9.