France borders Belgium and Luxembourg in the northeast, Germany, Switzerland, and Italy in the east, the Mediterranean Sea, Monaco, Spain, and Andorra in the south. France also shares maritime borders with the United Kingdom.

Explanation:

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2 years ago

You are told that PA I B) = PBIA). Which statement below must be true?

ivann1987 [24]

Answer:

A and B are equally likely

Explanation:

The conditional probability is defined as follows:

$P(X|Y)=\frac{P(X\cap Y)}{P(Y)}$

where:

$P(X|Y)$ is the probability for X to occur, given that Y has occurred

$P(X\cap Y)$ is the probability that both X and Y occur at the same time

$P(Y)$ is the probability for Y to occur

Given two events A and B, we have:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

and

$P(B|A)=\frac{P(A\cap B)}{P(A)}$

In this problem, we are told that

$P(A|B)=P(B|A)$

Which means that:

$\frac{P(A\cap B)}{P(B)}=\frac{P(A\cap B)}{P(A)}$

Simplifying, we get:

$P(A)=P(B)$

which means that A and B are equally likely.

4 0

2 years ago