Question

Select the correct answer. The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true? A. P(B|A) = y B. P(A|B) = y C. P(B|A) = x D. P(A and B) = x + y E. P(A and B) = x P(A) y

Answer 1

P(A) = probability of event A, P(B) = probability of event B

P(A) = x is given to us

P(B) = y is also given

--------------------------

If A and B are independent, then neither event affects the other. If we know A happens, then that doesn't change the probability of B happening (vice versa).

So that means P(A|B) = P(A) = x and P(B|A) = P(B) = y

This points to the answer being P(B|A) = y which is choice A or the first answer choice

note: P(A|B) is read as "probability of A given that B has happened". It is known as conditional probability. The symbol between the A and B is not the letter i or L, it is a vertical pipe symbol to separate the letters.

Answer 2

Probability of independent events will be P(A/B) = P(A) = x and P(B/A) = P(B).

What is probability?

The probability of an event occurring is defined by probability.

Probability is also known as chance because, if you flip a coin, the likelihood that it will land on its head or tail is nothing more than the chance that either the head or the tail will occur.

In our daily time, there are several instances in the everyday world where we may need to draw conclusions about how everything will turn out.

The question is saying that event (A) and event (B) are independent it means

P(A/B) = P(A) is read by the probability of A after B events but for independent events, it doesn't matter.

P(B/A) = P(B) hence that will be the correct answer.

For more information about the probability

brainly.com/question/11234923

#SPJ2