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.

Rolling a fair six-sided die and flipping a coin. Are these events independent or dependent? Selecting a card from a standard deck and rolling a fair six-sided die. Are these events independent or dependent? Drawing a red marble from a bag and drawing a blue marble from the same bag without replacement. Are these events independent or dependent? Choosing a student at random from a class and choosing a student at random again without replacement. Are these events independent or dependent? Picking a yellow Skittle from a bag and picking another yellow Skittle from the same bag without replacement. Are these events independent or dependent? Drawing a spade from a deck of cards and drawing another spade from the same deck without replacement. Are these events independent or dependent? Tossing a fair coin twice. Are these events independent or dependent? Rolling a fair six-sided die twice. Are these events independent or dependent? Choosing a red M&M from a bag and choosing another red M&M from the same bag without replacement. Are these events independent or dependent? Drawing a queen from a deck of cards and drawing another queen from the same deck without replacement. Are these events independent or dependent?

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 Event A and Event B, $P\left(A\right)=\frac{7}{9}$P(A)=79​​ , $P\left(B\right)=\frac{8}{9}$P(B)=89​​ , and $P\left(A\text{ and }B\right)=\frac{56}{81}$P(A and B)=5681​​ . Are the events independent or dependent?Responsesindependentindependentdependent

For each set of probabilities, determine whether the events A and B are independent or dependent.(If necessary, consult a list of formulas.)ProbabilitiesIndependentDependent(a) =PA12;= PB14; PA and =B18(b) =PA12;= PB16;= PA|B12(c) =PA13;= PB16;= PB|A12(d) =PA19;= PB12;= PB|A12

A bin contains orange, blue, green, and yellow water balloons. You randomly select two balloons to toss. Are events A and B independent or dependent? Event A: You choose a green balloon first.Event B: You choose a yellow balloon second.