Decide whether the events are independent or dependent. Selecting a king from a standard deck (A), not replacing it, and then selecting a queen from the deck (B).

For each experiment, determine whether events A and B are independent or dependent.Experiment Events IndependentDependentA deck contains 10 cards numbered 1 through 10. A card is randomly selected and reinserted into the deck. The deck is shuffled. Then another random selection is made. Event A: The first selection is a 7.Event B: The second selection is a 4.Chau randomly selects a sock from a drawer containing black socks and brown socks, and puts it on. Then another random selection is made from the remaining socks. Event A: The first selection is black.Event B: The second selection is brown.A family has two children. Event A: The older child has red hair.Event B: Both children have red hair.A number cube with sides labeled 1 through 6 is rolled twice. Event A: The first roll is a 6.Event B: The second roll is a 5.A litter of puppies consists of black puppies and white puppies. A puppy is randomly selected and removed from the litter. Then another random selection is made from the remaining puppies. Event A: The first selection is a white puppy.Event B: The second selection is a black puppy.

From a pack of regular playing cards, two cards are drawn at random. What is the probability that both cards will be kings, if the card is NOT replaced?

If one card is randomly selected from a well-shuffled standard deck of 52 cards, what is the probability that the card selected is a King? Leave your answer as a reduced fraction.

We have a deck of 8 cards numbered from 1 to 8.Some are grey and some are white.The cards numbered 1 and 5 are grey.The cards numbered 2, 3, 4, 6, 7, and 8 are white.A card is drawn at random.Let X be the event that the drawn card is grey, and let PX be the probability of X.Let not X be the event that the drawn card is not grey, and let Pnot X be the probability of not X.(a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.Event Outcomes Probability1 2 3 4 5 6 7 8X =PXnot X =PnotX(b)Subtract.=−1PnotX (c)Select the answer that makes the sentence true.−1Pnot X is the same as ▼−1PX.

There are four suits in a deck of 52 playing cards: hearts, diamonds, clubs, and spades. Each suit has 13 cards: A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. Suppose you draw two cards randomly without replacement. What is the probability that the first card is a heart and the second card is a king? (The result of directly drawing the King of Hearts on the first draw is also acceptable; therefore, this problem has two answers, and either is correct.