Can you please work our problem so I can see how you got the result ^?

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Question Help In horse racing, a trifecta is a bet that the first three finishers in a race are selected, and they are selected in the correct order. Does a trifecta involve combinations or permutations? Explain. Choose the correct answer below. O A. Because the order of the first three finishers does make a difference, the trifecta involves permutations. O B. Because the order of the first three finishers does not make a difference, the trifecta involves combinations. O C. Because the order of the first three finishers does not make a difference, the trifecta involves permutations. O D. Because the order of the first three finishers does make a difference, the trifecta involves combinations.Question Help the spelling bee? If you know the names of the remaining five students in the spelling bee, what is the probability of randomly selecting an order and getting the order that is used in P(selecting the correct spelling bee order) = (Type an integer or a simplified fraction.)A thief steals an ATM card and must randomly guess the correct five-digit pin code from a 7-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try? The number of possible codes is (Type an integer or fraction. Simplify your answer.) The probability that the correct code is given on the first try is (Type an integer or fraction. Simplify your answer.)In the game of blackjack played with one deck, a player is initially dealt 2 different cards from the 52 different cards in the deck. A winning "blackjack" hand is won by getting 1 of the 4 aces and 1 of 16 other cards worth 10 points. The two cards can be in any order. Find the probability of being dealt a blackjack hand. What approximate percentage of hands are winning blackjack hands? The probability is] (Type an integer or a simplified fraction.) The percentage of hands that are winning blackjack hands is 1%. (Round to two decimal places as needed.)The table below displays results from experiments with polygraph instruments. Find the positive predictive value for the test. That is, find the probability that the subject lied, given that the test yields a positive result. Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Positive test results 15 41 Negative test results 30 10 The probability is (Round to three decimal places as needed.)Question Help The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find The individual actually the probability of getting someone who tests negative, given that he or she had the disease. had the disease Yes No Positive 129 18 Negative 9 144 The probability is approximately . (Round to three decimal places as needed.)