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

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 favorable outcomes. The favorable outcomes are:

• Picking 2
• Picking 3

There are 2 favorable outcomes (2 and 3) out of a total of 3 possible outcomes in the sample space.

Thus, the probability \( P \) of picking either number 2 or number 3 can be calculated as follows:

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

Therefore, the probability of picking number 2 or 3 is

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

This is already in its simplest form.