Question

1. the numbers 1 through 15 were each written on individual pieces of paper, 1 number per piece. then the 15 pieces of paper were put in a jar. one piece of paper will be drawn from the jar at random. what is the probability of drawing a piece of paper with a number less than 9 written on it?

a. \\(\frac{1}{9}\\)

b. \\(\frac{1}{15}\\)

c. \\(\frac{6}{15}\\)

d. \\(\frac{7}{15}\\)

e. \\(\frac{8}{15}\\)

\\(\bigcirc\\) a

\\(\bigcirc\\) b

\\(\bigcirc\\) c

\\(\bigcirc\\) d

\\(\bigcirc\\) e

Explanation:

Step1: Count total possible outcomes

Total numbers = 15, so total outcomes = 15

Step2: Count favorable outcomes

Numbers less than 9: 1,2,3,4,5,6,7,8. Count = 8

Step3: Calculate probability

Probability = $\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}} = \frac{8}{15}$

Answer:

E. $\frac{8}{15}$