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

Question

. Each outcome is equally likely to occur with a probability of 13
. 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 either number 2 or number 3 from the sample space \( S = {1, 2, 3} \), we first identify the outcomes that fit our criteria.

The outcomes that match our conditions are:

• Number 2
• Number 3

Since there are 2 favorable outcomes (2 and 3) and the total number of outcomes in the sample space is 3, we can calculate the probability as follows:

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

Thus, the probability of picking number 2 or 3 is \(\frac{2}{3}\).