LiLiana buys a bag oi cookies that contains 5 chocolate chip cookies, ti peanut butter cookies, I sugar cookies and 8 oatmeal cookies. What is the probability that Liliana randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects an oatmeal cookie? Probability = (Round your answer to 4 decimal places.) You roll two six-sided fair dice. a. Let A be the event that either a 3 or 4 is rolled first followed by an odd number. PM} = Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is at most 7. PiB) = Round your answer to four decimal places. :2. Are A and B mutually exclusive events? '73 Yes, they are Mutually Exclusive {3' No, they are not Mutually Exclusive d. Are A and B independent events? '73 The}.r are not Independent events '73 The}.r are Independent events An experiment consists of first rolling a die and then tossing a coin: a. How many.r elements are there in the sample space? b. Let A be the event that either a 2) 3 or 4 is rolled first, followed by Landing at head on the coin toss. PEA) = Present your answer as a decimal rounded to four decimal places. c. Let B be the event that a number less than 2 is rolled, followed by landing a head on the coin toss. Are the events A and B mutually exclusive? '73 Yes, they are Mutually Exclusive {'3' No, they are not Mutually Exclusive 5795 of all the town's residents own a dog and 65% own a cat. 01' the dog owners 4396 aLso own a eat. If a town resident is chosen at random find: [round to 4 decimaL places where possible} a. P(Own a Dog) = b. Ptin a Cat] = c. Ptin a Cat and a Dog) = d. Ptin a Dog GIVEN Own a Cat) = Giving a test to a group of students, the grades and gender are summarized below If one student is chosen at random, find the probability that the student was female OR got an "A\". Round your answer to 4 decimal places. Giving a test to a group of students, the grades and gender are summarized below. Round your answers to 4 decimal places. Grades and Gender If one student is chosen at random, a. Find the probability that the student got a C: b. Find the probability that the student was female AND got a "C": C. Find the probability that the student was male OR got an "A": d. If one student is Chosen at random, find the probability that the student was male GIVEN they got a 'B