Seven slips of paper marked with the numbers 1,2,3,4,5,6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is not 5?A box contains 2 blue cards numbered 1 through 2, and 3 green cards numbered 1 through 3. List the sample space of picking a blue card followed by a green card (SHOW YOUR WORK)Write the events as a set of outcomes. We obtain yellow exactly twice in three spins. Let Y represent yellow, R represent red, G represent green, and B represent blue. (SHOW YOUR WORK)For a school project, Sue interviewed a total of 100 persons who were either lawyers or salesmen. She asked them if they where happy or unhappy with their occupation. Of the 56 lawyers interviewed, 13 were unhappy, however, only 9 of the salesmen were unhappy. Suppose that one of the persons interviewed is selected at random. Find the probability that the person selected is a salesman.A box contains 26 blue marbles, 17 green marbles, and 7 red marbles. Two marbles are selected at random without replacement. Let E be the event that the first marble selected is green. Let F be the event that the second marble selected is green. Find P(F|E).If two fair dice are rolled, find the probability of a sum of 6 given that the roll is a "double" (both dice have the same number)If two fair dice are rolled, find the probability of a "double" (both dice have the same number) given that the sum is 11A survey revealed that 45% of people are entertained by reading books, 35% by watching TV, and 17% are entertained by both books and TV. What is the probability that a person will be entertained by books or TV?A survey of senior citizens at a doctor's office shows that 46% of the seniors take blood pressure lowering medication, 41% take cholesterol lowering medication, and 8% take both medications. What is the probability that a senior citizen takes only one of these medications given that he or she takes at least one of the medications? Round to Two decimal places.A pair of fair dice are rolled. Let E be the event that the sum is less than ten. Let F be the event that at least one die shows a five. Are E and F dependent events? (Yes or No Answer)If two cards are drawn without replacement from a standard 52 card deck, find the probability that the second card is a face card, given that the first card was a queen. Note that there are three face cards in each suit and that there are four suits. (Show Your Work)
