You randomly draw two cards from a standard deck. Suppose you want to draw a queen twice in a row. What is the probability of picking a queen on the second draw if the events are dependent?

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Answer 1

If the events are dependent, it means that the outcome of the first draw affects the probability of the second draw.

To calculate the probability of picking a queen on the second draw given that you picked a queen on the first draw, we first need to determine the probability of picking a queen on the first draw.

There are 4 queens in a standard deck of 52 cards, so the probability of picking a queen on the first draw is 4/52 or 1/13.

Since we are assuming that you want to draw a queen twice in a row, if you picked a queen on the first draw, there would be only 3 queens left in the deck out of a total of 51 cards on the second draw. Therefore, the probability of picking a queen on the second draw given that you picked a queen on the first draw is 3/51 or 1/17.

So, the probability of picking a queen on the second draw if the events are dependent is 1/17.