Step 1 :Given the data, we know that the number of males who survived is 243 and the total number of males is 1,342.
Step 2 :The question 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 3 :Using the formula for probability, which is \(\frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}\), we get \(\frac{243}{1342}\).
Step 4 :Calculating the above expression, we get approximately 0.1810730253353204.
Step 5 :Rounding to three decimal places as needed, we get 0.181.
Step 6 :Final Answer: The probability that a male passenger survived is approximately \(\boxed{0.181}\).