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Please help me with the questions in the image below. please*Label them in order and*show all*steps. Please Start*From #2*To #6. Thanks in advance. ? QUESTION

Please help me with the questions in the image below. please*Label them in order and*show all*steps. Please Start*From #2*To #6. Thanks in advance. ?

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QUESTION 2 1. Use the Product Table to answer the following questions: TABLE 2 Rolling Two Fair Dice Green Die 2 3 5 6 (1. 1) (1. 2) (1, 3) (1. 4) (1. 5) (1. 6) 2 (2, 1) (2, 2) (2, 3) (2, 4) (2. 5) (2, 6) (3, 1) (3.2) (3, 3) (3. 4) (3.5) (3, 6) Red Die (4, 1) (4. 2) (4, 3) (4, 4) (4. 5) (4. 6) (5.1) (5,2) (5, 3) (5. 4) (5. 5) (5. 6) (6, 1) (6. 2) (6, 3) (6. 4) (6, 5) (6. 6) a) How many possible outcomes are there? b) Let T = the ways in which the sum of the dice is greater than 10. List the sample space of T. c) What is P(T)? d) What is the probability that the sum of the dice is less than 5 or that the sum of the dice is greater than 10?QUESTION 3 2. Evaluate without using a calculator. (Which means... show your work!) a) 5! b) c) What are the remaining factors of 11! 9! . 2! Right before you multiply them to get the answer but after you simplified? (I.e. if I was simplifying 21X6x4 the remaining factors are 3 7x6x1 and 4.)QUESTION 4 3. Find the number of distinguishable arrangements of the letters of the word MISSOURI. QUESTION 5 4. In a game of Palace, which requires the full deck of 52 cards, each player is dealt three cards. C 6 S A N a) What is the probability of a player being dealt three of a kind? b) Which is more likely: being dealt three of a kind or three hearts? Explain your answer.QUESTION 6 5. Evaluate the combinations (a) and (b) using two methods: (i) Using Pascal's Triangle; (ii) Using the formula. a) CA b) 139 1 1 1 1 2 1 1 3 3 1 1 4 6 A 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 28 56 70 56 28 8 1 1 36 84 126 126 84 36 C 1 10 45 120 210 252 210 120 45 10 1 11 55 165 330 462 462 330 165 55 11 1 12 66 220 495 792 924 792 495 220 66 12 1 13 78 286 715 1287 1716 1716 1287 715 28 78 13 14 91 364 1001 2002 3003 3432 3003 2002 100 364 91 14 1 1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 455 105 15 1 16 120 560 1820 4368 8008 11440 12870 11440 8008 4368 1820 560 120 16 1

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