the sample space of an experiment is $s = {1,2,3}$. each outcome is equally likely to occur with a…

the sample space of an experiment is $s = {1,2,3}$. each outcome is equally likely to occur with a probability of $\frac{1}{3}$. what is the probability of picking number 2 or 3? write your answer in the simplest form of a fraction. (1 point)

the sample space of an experiment is $s = {1,2,3}$. each outcome is equally likely to occur with a probability of $\frac{1}{3}$. what is the probability of picking number 2 or 3? write your answer in the simplest form of a fraction. (1 point)

Answer

Explanation:

Step1: Identify probabilities of individual events

The probability of picking 2 is $P(2)=\frac{1}{3}$, and the probability of picking 3 is $P(3)=\frac{1}{3}$.

Step2: Use addition rule for mutually - exclusive events

Since picking 2 and picking 3 are mutually - exclusive events, the probability of picking 2 or 3 is $P(2\ or\ 3)=P(2)+P(3)$. $P(2)+P(3)=\frac{1}{3}+\frac{1}{3}$

Answer:

$\frac{2}{3}$