Jim's sock drawer has two pairs of black socks, three pairs of white, one pair of green, and two pairs of gray. One evening he randomly picks three socks assuming that he will get a matched pair, but instead turns up with 1 black, 1 white, and 1 gray sock. Without putting back the socks he picked, picks another sock randomly. What is the probability that he will have a complete pair? A. \( \frac{2}{20} \)

A manufacturer tests a certain number of the headsets that are produced each day, with approximately \( 3 \% \) of the headsets found defective. If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, there is a defective headset. If the theoretical model is valid, and 1,000 units of that model are tested, the company would expect the empirical probability to stay the same increase

If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card?

Jim's sock drawer has two pairs of black socks, three pairs of white, one pair of green, and two pairs of gray. One evening he randomly picks three socks assuming that he will get a matched pair, but instead turns up with 1 black, 1 white, and 1 gray sock. Without putting back the socks he picked, picks another sock randomly. What is the probability that he will have a complete pair? A. \( \frac{2}{20} \)

You pick a card from a shuffled pack and draw a king. You put it back in the pack, shuffle, and then pick another card. This time you draw a queen. How are the two events of picking a king and picking a queen related? A. dependent B. both dependent and independent C. independent D. neither dependent nor independent

Select the correct answer from each drop-down menu. A manufacturer tests a certain number of the headsets that are produced each day, with approximately \( 3 \% \) of the headsets found defective. If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, there is a defective headset. If the theoretical model is valid, and 1,000 units of that model are tested, the company would expect the empirical probability to \( \square \)