Suppose that you have 8 cards. 5 are green and 3 are yellow. The cards are well shuffled. You randomly draw two cards with replacement. • G1 = first card drawn is green • G2 = second card drawn is green Hint Video on Independent Events Textbook Pages P(G1 AND G2) = [response1] Round your answer to two decimal places. P(At least one green) = [response2] Round your answer to two decimal places. P(G2|G1) = [response3] Round your answer to two decimal places. Are G1 and G2 independent? [response4]

Q and R are independent events. P(Q) = 0.4 ; P(Q AND R) = 0.25 . Find P(R). Hint Video on Independent Events Textbook Pages

Suppose that you have 9 cards. 5 are red and 4 are purple. The 5 red cards are numbered 1,2,3,4, and 5. The 4 purple cards are numbered 1, 2, 3, and 4. The cards are well shuffled. You randomly draw one card. • R = card drawn is red • E = card drawn is even-numbered How many elements are there in the sample space? [response1] P(E) = [response2] (Give your answer in decimal form rounded to 2 decimal places.) Hint Example Video on Probability Textbook Pages

E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F). Hint 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? [response1] B. Let A be the event that there is at least one head and at least one tail. P(A) = [response2] C. Let B be the event that the first and second tosses land on heads. Are the events A and B mutually exclusive? [response3] Hint 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) = [response1] B. P(Own a Cat) = [response2] C. P(Own a Cat and a Dog) = [response3]  D. P(Own a Dog GIVEN Own a Cat) = [response4]  Hint Video on Probability Textbook Pages

Consider the following scenario: • Let P(C) = 0.8 • Let P(D) = 0.6 • Let P(C|D) = 0.7 A. P(C AND D) = [response1] B. Are C and D Mutually Exclusive? [response2]   C. Are C and D independent events? [response3] D. P(C OR D) = [response4] E. P(D|C) = [response5] Round your answer to two decimal places. Hint 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. [response1] B. experiences depression given that the patient experiences weight gain. [response2]  C.experiences weight gain given that the patient experiences depression. [response3]  D. Are depression and weight gain mutually exclusive? [response4] E. Are depression and weight gain independent? [response5] 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? [response1] B. Let A be the event that there are at least two heads. P(A) = [response2]  C. Let B be the event that the first and second tosses land on tails. Are the events A and B mutually exclusive? [response3] Hint Textbook Pages

Suppose that you have 11 cards. 5 are red and 6 are black. The cards are well shuffled. You randomly draw two cards with replacement. • R1 = first card drawn is red • R2 = second card drawn is red Hint Video on Independent Events Textbook Pages P(R1 AND R2) = [response1] Round your answer to two decimal places. P(At least one red) = [response2] Round your answer to two decimal places. P(R2|R1) = [response3] Round your answer to two decimal places. Are R1 and R2 independent? [response4]