A restaurant owner has kept track of what main course people order and whether they have rice or potatoes with their main course. The results are shown in the table below.   Chicken Fish Vegetarian Total Rice 85 42 28 155 Potatoes 73 35 10 118 Total 158 77 38 273 Answer the following and present your answer as a fraction, either using the tallies given or reduced to lowest terms.  If a randomly customer is selected then A. P(Not Fish) = B. P(Chicken OR Fish) = C. P(Rice AND Vegetarian) = D. P(Potatoes OR In Chicken) = E. P(Vegetarian GIVEN Potatoes) = Hint Video on Tables and Probability Textbook Pages

62% of all the town’s residents own a dog and 57% own a cat. Of the dog owners 48% also own a cat. If a town resident is chosen at random find A. P(Own a Dog) = B. P(Own a Cat) = C. P(Own a Cat and a Dog) =   D. P(Own a Dog GIVEN Own a Cat) =   Hint Video on Probability Textbook Pages

A special deck of cards has 12 cards. four are green, three are blue, and five are red. When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin. A. How many elements are there in the sample space? B. Let A be the event that a green card is picked first, followed by landing a tail on the coin toss. P(A) = Present your answer as a decimal number rounded to two decimal places of accuracy. C. Let C be the event that a green or red is picked, followed by landing a tail on the coin toss. Are the events A and C mutually exclusive? D. Let B be the event that a blue or red is picked, followed by landing a tail on the coin toss. Are the events A and B mutually exclusive? Hint Example Video on Probability Textbook Pages

Suppose that you have 10 cards. 4 are blue and 6 are orange. The cards are well shuffled. You randomly draw two cards without replacement. • B1 = first card drawn is blue • B2 = second card drawn is blue Hint Video on Independent Events Textbook Pages P(B1 AND B2) = Round your answer to two decimal places. P(At least one blue) = P(B2|B1) = Round your answer to two decimal places. Are B1 and B2 independent?

An experiment consists of tossing a penny, a nickel and a dime. Of interest is the side the coin lands on. A. How many elements are there in the sample space? B. Let A be the event that there is at least one head and at least one tail. P(A) =   C. Let B be the event that the first and second tosses land on tails. Are the events A and B mutually exclusive? Hint Textbook Pages

The table below shows what direction houses in the community are facing and whether they are 1-Story or 2-Story houses.   North South East West Total 1-Story 45 23 18 31 117 2-Story 22 38 33 17 110 Total 67 61 51 48 227 Answer the following and present your answer as a fraction, either using the tallies given or reduced to lowest terms.  If a house in the community is randomly selected then A. P(2-Story) = B. P(East) = C. P(1-Story AND South) = D. P(2-Story OR West) = E. P(1-Story GIVEN North) = Hint Video on Tables and Probability Textbook Pages

At a drug rehab center 23% experience depression and 38% experience weight gain. 12% experience both. If a patient from the center is randomly selected, find the probability that the patient A. experiences neither depression nor weight gain. B. experiences depression given that the patient experiences weight gain.   C.experiences weight gain given that the patient experiences depression.   D. Are depression and weight gain mutually exclusive? E. Are depression and weight gain independent? Hint Video on Probability Textbook Pages

An experiment consists of tossing a penny, a nickel and a dime. Of interest is the side the coin lands on. A. How many elements are there in the sample space? B. Let A be the event that there is at least one head and at least one tail. P(A) = C. Let B be the event that the first and second tosses land on heads. Are the events A and B mutually exclusive? Hint Textbook Pages

An experiment consists of tossing a nickel, a dime and a quarter. Of interest is the side the coin lands on. A. How many elements are there in the sample space? B. Let A be the event that there are at least two tails. P(A) = C. Let B be the event that the first and second tosses land on heads. Are the events A and B mutually exclusive? Hint Textbook Pages

Consider the following scenario: • Let P(C) = 0.7 • Let P(D) = 0.4 • Let P(C|D) = 0.8 A. P(C AND D) = B. Are C and D Mutually Exclusive?   C. Are C and D independent events? D. P(C OR D) = E. P(D|C) = Round your answer to two decimal places. Hint Textbook Pages