Question

In 1912 the Titanic struck an iceberg and sank on its first voyage. Some passengers

got off the ship in lifeboats, but many died. The following two-way table gives
information about adult passengers who survived and who died, by class of travel.
Class
Survived?
Yes
No
First
197
122
Second
94
167
Third
151
476
Suppose we randomly select one of the adult passengers who rode on the Titanic.
Define event S as getting a person who survived and event F as getting a passenger
in first class.
Find P(not in first class and survived). Round your answer to 3 decimal places.

Answer 1

The probability of randomly selecting an adult passenger who survived and was not in first class on the Titanic is approximately 0.554 when rounded to three decimal places.

Step-by-step explanation:

To find the probability P(not in first class and survived), we need to consider passengers who survived and were not in first class—that is, those in second and third class who survived.

Looking at the provided table, we see that there were 94 survivors in second class and 151 survivors in third class, giving us a total of 94 + 151 = 245 survivors not in first class.

The total number of survivors across all classes is 197 (first class) + 94 (second class) + 151 (third class) = 442 survivors. The probability we are looking for is the ratio of survivors not in first class to the total number of survivors. Thus,

P(not in first class and survived) = 245 / 442

= approximately 0.554 (rounded to 3 decimal places).