CFA® Level 1 Probability: Drawing a King on the Second Selection

Probability of Drawing a King on the Second Selection

Prev Question Next Question

Question

The first card selected from a standard 52 card deck was a king. If it is returned to the deck, what is the probability that a king will be drawn on the second selection?

Answers

Explanations

Click on the arrows to vote for the correct answer

A. B. C. D. E.

B

There are still 4 kings out of 52 in the pack. So 4/52 = 1/13. The first selection does not affect the second selection.

To determine the probability of drawing a king on the second selection, we need to consider the number of favorable outcomes (drawing a king) and the total number of possible outcomes.

In this case, we know that the first card drawn was a king, and it was returned to the deck. Since it was returned, the total number of cards in the deck remains the same at 52.

Now, let's look at the number of favorable outcomes. After the first king was drawn and returned to the deck, there are still 4 kings remaining in the deck. Therefore, there are 4 favorable outcomes (drawing any one of the remaining kings) for the second selection.

Since there are 52 cards in total, the total number of possible outcomes for the second selection is also 52.

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:

Probability = Favorable Outcomes / Total Possible Outcomes

Probability = 4 / 52 = 1/13 or approximately 0.077

Therefore, the correct answer is B. 1/13, or 0.077.