Question

question 4 of 5. if a number is chosen at random from the set {1, 2, 3, 4, ..., 18}, what is the probability that the number chosen is a factor of 17? a 0 b 1/18 c 1/9 d 2/9

Explanation:

Step1: Find factors of 17

The factors of 17 are 1 and 17. Since 17 is not in the set {1, 2, 3, …, 18}, only 1 is relevant from the set.

Step2: Calculate probability

The set has 18 elements. The probability $P$ of choosing 1 (the only factor of 17 in the set) from 18 elements is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes is 1 and the total number of outcomes is 18. So $P = \frac{1}{18}$.

Answer:

B. $\frac{1}{18}$