Consider a situation in which P (X) =

and P (Y) = 1 If P (X and Y) is

, which best describes the events?

A: They are independent because P (X). P (Y) = PIX and Y).

B: They are independent because P (X) + P (Y) = P (X and Y).

C: They are dependent because P (X). PY) = P (X and Y).

D: They are dependent because P (X) + P (Y) = P (X and Y).

Question

Mathematics

Kyle Collins

25 August, 17:56

Consider a situation in which P (X) =

and P (Y) = 1 If P (X and Y) is

, which best describes the events?

A: They are independent because P (X). P (Y) = PIX and Y).

B: They are independent because P (X) + P (Y) = P (X and Y).

C: They are dependent because P (X). PY) = P (X and Y).

D: They are dependent because P (X) + P (Y) = P (X and Y).

+4

Answers (1)

Know the Answer?

Makenna Ruiz · Answer 1

A: They are independent because P (X). P (Y) = PIX and Y).

Step-by-step explanation:

A) Two events X and Y are said to be independent if the probability of X occurring does not affect the probability of Y occurring or the probability of Y occurring does not affect the probability of X occurring. An example of independent events is the rolling of a die and flipping of a coin because the probability of getting a face in the die does not influence the probability of getting a head or tail in the coin. The probability of both events occurring is given as:

P (X and Y) = P (X). P (Y)