To solve this problem, we need to determine the probability of randomly selecting a card numbered less than 12 from a box that contains cards numbered from 1 to 100.
First, we identify the total number of possible outcomes, which is the total number of cards in the box. Since the cards are numbered from 1 to 100, there are 100 cards in total.
Next, we identify the number of favorable outcomes, which is the number of cards that are numbered less than 12. The cards that meet this criterion are numbered from 1 to 11. Therefore, there are 11 such cards.
The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. Thus, the probability [tex]\(P\)[/tex] of selecting a card that is numbered less than 12 is:
[tex]\[
P = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\][/tex]
Substituting the values we have:
[tex]\[
P = \frac{11}{100}
\][/tex]
So, the probability of randomly selecting a card that is numbered less than 12 is:
[tex]\[
\frac{11}{100}
\][/tex]
Therefore, the correct answer is [tex]\(\frac{11}{100}\)[/tex].
