Question

1. statistics & probability *

the whole numbers 1 through 30 were each written on separate pieces of paper. those 30 pieces of paper were put into a jar. one piece of paper will be randomly drawn from this jar. what is the probability that this piece of paper will have a prime number written on it?
f. $\frac{1}{30}$
g. $\frac{1}{20}$
h. $\frac{1}{10}$
j. $\frac{10}{30}$
o f
o g
o h
o j

Explanation:

Step1: Identify prime numbers

Prime numbers from 1 - 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. There are 10 prime numbers.

Step2: Calculate probability

Probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, total number of outcomes is 30 (since there are 30 pieces of paper), and number of favorable outcomes (prime - numbered papers) is 10. So $P=\frac{10}{30}$.

Answer:

J. $\frac{10}{30}$