Question 40

The probability that the number 13 is not selected on either of the first two draws is 2,352/2,450.

To find the probability that the number 13 is not selected on either of the first two draws, we consider the total number of balls and how the selection process affects the outcomes. After the first draw, if 13 is not chosen, there are 49 balls remaining, and after the second draw with one more ball removed, there are 48 balls left, leading to a probability of 2,352 favorable outcomes over 2,450 possible outcomes.

A) 48/50

This option represents the probability of not drawing the number 13 on the first draw only. However, it does not account for the second draw, making it an incomplete representation of the scenario and thus incorrect for the question being asked.

B) 02-Jan

This option does not provide a numerical probability and appears to be a placeholder or irrelevant text. It does not pertain to the probability calculation and is therefore incorrect.

C) 2,498/2,500

This option suggests an incorrect calculation of the probability. To find the probability of not selecting 13 in two draws, one must consider the reduction of total balls after each draw, which this option neglects, leading to an inaccurate outcome.

D) 2,352/2,450

This option accurately reflects the probability of not selecting the number 13 in two draws. The calculations consider that if 13 is not chosen in the first draw, there are 49 remaining balls, and if it is not chosen in the second draw, there are 48 remaining. Hence, the probability is correctly calculated as 2,352 favorable outcomes out of 2,450 total possible outcomes.

Conclusion

The correct answer, 2,352/2,450, accurately represents the probability of not selecting the number 13 in both draws. Options A, B, and C fail to provide a complete or correct probability calculation, thereby validating D as the definitive answer based on the selection process involved.