Question

Da sample space of an experiment is S = { 1,2,3 } each outcome is equally likly 2 occur with probability of 1/3. Wut is da probability of picking number 2 or 3? Write ur answer in da simplest from of a reaction

Answer 1

To find the probability of picking either number 2 or number 3 from the sample space \( S = \{ 1, 2, 3 \} \), we first note the probabilities of each individual outcome, which is \( \frac{1}{3} \).

The outcomes that satisfy the condition of picking either 2 or 3 are:
- Number 2
- Number 3

The probability of picking number 2 is \( \frac{1}{3} \), and the probability of picking number 3 is also \( \frac{1}{3} \).

To find the combined probability of picking either number 2 or number 3, we add the probabilities of these two outcomes together:

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

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