Question

Question
The sample space of an experiment is S={1,2,3}
. 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 number 2 or 3 from the sample space \( S = \{1, 2, 3\} \), we first need to determine the total number of outcomes and the number of favorable outcomes.

1. The total number of outcomes in the sample space \( S \) is 3.
2. The favorable outcomes for picking either number 2 or 3 are 2 and 3, which gives us 2 favorable outcomes.

Now, the probability \( P \) of picking number 2 or 3 can be calculated using the formula:

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

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