Question

a box contains cards that are numbered from 1 to 100. what is the probability of randomly selecting a number that is less than 12?
1/100
1/12
11/100
12/100

Explanation:

Step1: Identify total number of outcomes

The cards are numbered from 1 - 100, so the total number of cards (total outcomes) is $n = 100$.

Step2: Identify favorable outcomes

The numbers less than 12 among 1 - 100 are 1, 2, …, 11. So the number of favorable outcomes $m=11$.

Step3: Calculate probability

The probability formula is $P=\frac{m}{n}$. Substituting $m = 11$ and $n = 100$, we get $P=\frac{11}{100}$.

Answer:

$\frac{11}{100}$