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) Remaining Attempts : 3

Answer 1

To find the probability of picking either number 2 or number 3 from the sample space \( S = \{1, 2, 3\} \), we first need to identify the favorable outcomes.

The outcomes in the sample space are:
- 1
- 2
- 3

The favorable outcomes for our event (picking number 2 or 3) are:
- 2
- 3

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

The probability of picking a number 2 or 3 can be calculated using the formula for probability:

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

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