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?

Question

*
1 point
1/9
1/15
6/15
7/15
8/15

Answer 1

To find the probability of drawing a piece of paper with a number less than 9 from the numbers 1 through 15, we first identify how many numbers are less than 9. The numbers less than 9 are: 1, 2, 3, 4, 5, 6, 7, and 8. There are a total of 8 numbers that meet this criterion.

Next, we determine the total number of pieces of paper, which is 15 (one for each number from 1 to 15).

The probability of drawing a number less than 9 is calculated as the number of favorable outcomes (numbers less than 9) divided by the total number of outcomes (total numbers):

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{8}{15} \]

Thus, the probability of drawing a piece of paper with a number less than 9 is \(\frac{8}{15}\).

The correct answer is:

8/15