A card is randomly selected from a standard 52-card deck of playing cards. Determine the probability that the randomly selected card: a. is red b. is a "face card" (king, queen, or jack) c. is the "jack of clubs" d. is a heart and a diamond: A family includes three children. Determine the probability that: a. there are two boys and one girl b. there is at least one boy c. there are children of both sexes d. there is at most one girl: A jar contains four marbles labeled "1" , "2" , "3" , and "4". TWO marbles are drawn without replacement. Determine the probability that: a. the sum of the numbers on the drawn marbles = 5 b. the sum of the numbers on the drawn marbles is an odd number c. the sum of the numbers on the drawn marbles = 9 d. one of the marbles drawn is the "3" marble Determine whether the following pairs of events are mutually exclusive: a. A = {A person earns more than $25,000} B = {A person earns less than $20,000} Enter "yes" or "no" for answer b. A card is drawn from a deck: C = {It is a King} D = {It is a heart} Enter "yes" or "no" for answer c. A single, fair, 6-sided die is rolled: shows} E = {An even number shows} F = {A number greater than 3 Enter "yes" or "no" for answer d. Three fair coins are tossed: G = {Two heads come up} H = {At least one tail comes up} Enter "yes" or "no" for answer e. A family has three children: K = {First born is a boy} L = {The family has children of both sexes} Enter "yes" or "no" for answer A single card is randomly drawn from one standard 52-card deck of playing cards, and events C and D are as follows: C = {the card drawn is a king} D = {the card drawn is a heart}. Find \"probability of event C OR event D occurring\