Question

1) What is the probability of surviving given that the passenger was a female and in first class?

2) What is the probability of being a female and in first-class given than survived?

3) What is the difference between Question 1 & 2? ----> I need the answer of this question! Please

Answer 1

Both are cases of conditional probability. Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome.

In question 1, We have to find the probability of surviving where the given condition (or the event that has occurred) is that the passenger was a female and in first class whereas in the 2nd question, we have to find the probability of being a female and in first-class where the given condition (or the event that has occurred) is that the passenger survived.

Let's say, event A = the passenger survives

event B = the passenger is a female and in first class

Then, in question 1, we have to find the probability P(A|B) whereas in question 2, we have to find the probability P(B|A).