Question

What statements are correct? Check all that apply. The conditional probability formula is P(X │ Y) = . The conditional probabilities P(D │ N) and P(N │ D) are equal for any events D and N. The notation P(R │ S) indicates the probability of event R, given that event S has already occurred. Conditional probability applies only to independent events. Conditional probabilities can be calculated using a Venn diagram.

Answer 1

The first one P(X │ Y) = .

The notation P(R │ S) indicates the probability of event R, given that event S has already occurred.The conditional probability formula is P(X │ Y) = .

Conditional probabilities can be calculated using a Venn diagram

Answer 2

Answer:

a,c and e

Step-by-step explanation:

We have to find the correct statements.

a.The conditional probability formula is P(X/Y)

If event X and event Y when given that  event Y has already occurred .Then, the probability of event X is given by P(X/Y).

SO, it is true.

b.The conditional probability P(D/N) and P(N/D) are equal for any events.

It is false because P(D/N)  means the probability of event D when given that event N has already occurred and P(N/D) means the probability of event N when given that event D has already occurred.

c.The notation P(R/S) indicates the probability of event R, given that event S has already occurred.

It is true.

d.Conditional probability applies only to independent events.

It is false because it is not necessary that events are independents .It is also used for when events are dependent.

Conditional probabilities can be calculated using a venn diagram.

Yes, it is true because we can calculates conditional probabilities by venn diagram.