Step 1 :The problem is asking for the probability that a male passenger survived. To calculate this, we need to divide the number of males who survived by the total number of males.
Step 2 :From the data given, we know that 243 males survived and there were a total of 79 males.
Step 3 :Let's denote the number of males who survived as \(male\_survived\) and the total number of males as \(total\_males\). So, \(male\_survived = 243\) and \(total\_males = 79\).
Step 4 :The probability that a male passenger survived is calculated as \(probability\_male\_survived = \frac{male\_survived}{total\_males}\).
Step 5 :However, the result of this calculation is 3.076, which is greater than 1. This is not possible because a probability cannot be greater than 1.
Step 6 :Therefore, there seems to be a mistake in the given data or in the understanding of the problem. The total number of males should be greater than or equal to the number of males who survived, but in this case, it's the opposite.
Step 7 :\(\boxed{\text{Final Answer: The calculation cannot be completed due to a discrepancy in the provided data. The total number of males is less than the number of males who survived, which is not possible. Please check the data again.}}\)