You roll two number cubes.Let event A = You roll an even number on the first cube.Let event B = You roll a 2 on the second cube.Are the events independent or dependent? Why?A.Independent, because they have no outcomes in common.B.Dependent, because 2 is an even number.C.Dependent, because both cubes have six sides.D.Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.

Roll two fair dice separately. Each dice has six faces. Let A be the event that either a three or four is rolled first, followed by an even number. Let B be the event that the sum of the two rolls is at most seven. Are A and B independent events?Question 2Answera.Yesb.No

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?

When do we say that two events are independent events?*1 pointA. if the two events do not have any common outcomeB. if the two events have at least one common outcomeC. if the first event affects the outcome of the second eventD. if the first event does not affect the outcome of the second event

number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.Outcomes ProbabilityEEE EOO OEE OEO EEO EOE OOO OOEEvent A: No even numbers on the last two rolls 18Event B: Two or more even numbers 12Event C: An even number on the second roll or the third roll (or both) 34

A six-sided cube is rolled. What is the probability that the number is odd or less than 4?Event A: Numbers on a six-sided cube are odd: 1, 3, 5Event B: Numbers on a six sided cube are less than 4: 1, 2, 3 1/2 2/3 5/6 1