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).

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)

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step-by-step