Question

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.(1 point)

_______

Answer 1

The sample space \( S = \{1, 2, 3\} \) consists of three outcomes. The probability of each outcome occurring is \( \frac{1}{3} \).

To find the probability of picking number 2 or 3, we need to determine how many favorable outcomes there are for this event.

The favorable outcomes for picking either 2 or 3 are:
- Outcome 2
- Outcome 3

There are 2 favorable outcomes (2 and 3) out of a total of 3 possible outcomes (1, 2, and 3).

Thus, the probability of picking number 2 or 3 is calculated as follows:

\[
P(2 \text{ or } 3) = P(2) + P(3) = \frac{1}{3} + \frac{1}{3} = \frac{2}{3}
\]

Therefore, the probability of picking number 2 or 3 in simplest form is:

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