The sample space of an experiment is S={1,2,3}

Question

. Each outcome is equally likely to occur with a probability of 1/3
. What is the probability of picking number 2 or 3? Write your answer in the simplest form of a fraction.(1 point)

Answer 1

To find the probability of picking number 2 or 3 from the sample space \( S = {1, 2, 3} \), we first determine the total number of outcomes in the sample space, which is 3.

The favorable outcomes for picking either number 2 or number 3 are:

• Number 2
• Number 3

Thus, there are 2 favorable outcomes (2 and 3).

Next, we calculate the probability using the formula:

\[ P(\text{picking 2 or 3}) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}} = \frac{2}{3} \]

Therefore, the probability of picking number 2 or 3 is

\[ \frac{2}{3} \]