For the experiment, determine whether the two given events are independent. The answers are all guessed on a twenty-question multiple choice test. The events are "the third answer is correct" and " the test answer is correct." These two events are ______

Two dice, one green and one yellow, are rolled. Find the conditional probability. The sum is 12, given that the green one is either 2 or 3 and the yellow one is 1.   Say whether the indicated pair of events is independent. The events are dependent.The events are independent.

For Parts A, B, and C, use the experiment below. Show all work. Two fair six-sided dice are rolled. Part A: How many outcomes are in the sample space of the experiment? Part B: What is the probability the sum of the two dice will be greater than or equal to 10? Part C: Laura and Bethany want to decide who fills the car with gasoline for their upcoming trip. Laura will fill the car if the sum of the dice is greater than or equal to 10, and Bethany will fill the car if the sum of the dice is less than 5 If the sum of the dice is any other value, the result is discarded. Does this method provide a fair way to decide who fills the car with gasoline? Provide a supporting explanation.

Independent or Dependent In each question below, you are given two events. Determine whether the events are Independent or Dependent. Sort the questions into the appropriate category. Hint: There are 4 questions in each category. Question H Independent Dependent Question D Question F Question C Question B Question A Question E Question G Question A: Flipping a coin and tossing a Question B: Picking two digits from 0 to die 9 when the digits cannot repeat Question D: Drawing a card from a 52 card deck then drawing a second card Question C: Picking two books out of 10 books to read for an English class after replacing the first card Question E: From a group of 5 friends, Question F: Drawing a card from a 52 choosing a person to drive and another a card deck then drawing a second card person to sit in the passenger seat without replacing the first card Priv Question G: Picking two digits from 0 to 9 when the digits can repeat Question H: Flipping a coin and then flipping the coin again…