Question

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?
\\(\frac{1}{9}\\)
\\(\frac{1}{15}\\)
\\(\frac{6}{15}\\)
\\(\frac{7}{15}\\)
\\(\frac{8}{15}\\)

Explanation:

Step1: Determine favorable outcomes

Numbers less than 9 from 1 - 15 are 1,2,3,4,5,6,7,8. So there are 8 favorable outcomes.

Step2: Determine total outcomes

Total numbers are 15, so total outcomes = 15.

Step3: Calculate probability

Probability = $\frac{\text{favorable outcomes}}{\text{total outcomes}}$ = $\frac{8}{15}$.

Answer:

$\frac{8}{15}$ (corresponding to the blue option: $\boldsymbol{\frac{8}{15}}$)