Let the sample space be S = {1, 2, 3, 4, 5, 6}. Suppose the outcomes are equally likely. Compute the probability of the event E equals an odd number.
Answer (2)
The probability of choosing an odd number from the sample space S = {1, 2, 3, 4, 5, 6} is 2 1 or 50%. This is calculated by finding the number of odd numbers (3) and dividing by the total outcomes (6).
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To solve this problem, we are tasked with finding the probability that a randomly selected outcome from the sample space S = { 1 , 2 , 3 , 4 , 5 , 6 } is an odd number.
Firstly, we identify the odd numbers within the sample space:
The odd numbers in S are: 1, 3, and 5.
There are 3 odd numbers in the sample space.
Next, we calculate the probability of an event by dividing the number of favorable outcomes by the total number of possible outcomes:
The total number of outcomes in the sample space S is 6 (since there are 6 numbers total).
The probability of the event E that an outcome is an odd number is calculated as:
P ( E ) = Total number of outcomes Number of odd outcomes = 6 3 = 2 1
The probability P ( E ) that the outcome is an odd number is 2 1 or 0.5.
This means that there is a 50% chance of selecting an odd number from the sample space.
