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?
The probability of picking number 2 or 3 is the sum of their individual probabilities:
P(2 or 3) = P(2) + P(3)
Since each outcome is equally likely, P(2) = P(3) = 1/3:
P(2 or 3) = 1/3 + 1/3 = 2/3
Therefore, the probability of picking number 2 or 3 is 2/3.
To find the probability of picking the number 2 or 3, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
In this case, the numbers 2 and 3 are the favorable outcomes. The sample space of the experiment is S = [1, 2, 3], so there are three possible outcomes.
Thus, the probability of picking the number 2 or 3 is given by the formula:
Probability = Number of favorable outcomes / Total number of outcomes
In this case, there are two favorable outcomes (2 and 3) and a total of three possible outcomes.
So, the probability of picking the number 2 or 3 is:
Probability = 2 / 3
Therefore, the probability of picking the number 2 or 3 is 2/3.