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Mona draws a diamond from a standard deck of 52 cards, as shown here. Without replacing the first card, she then proceeds to draw a second card and gets a heart. Are these events independent? The two events are first selecting a diamond, and the second event is selecting a heart, given a diamond was selected and not replaced. Remember, independent events are events where an outcome of one event is not affected by the outcome of the other. Which in this case, the outcome of selecting a heart is affected by the outcome of selecting a diamond because the diamond was not replaced back into the deck, and therefore, these events are not independent. Theyre actually dependent, where dependent events are events where an outcome of one event is affected by the outcome of the other. So, because Mona does not put the first card back into the deck, these two events are dependent, not independent, so we answer no, the events are not independent. Now were asked to find the probability of drawing a