A single fair die is rolled twice. a) Determine the number of points in the sample space. b) Construct a tree diagram and determine the sample space. c) Determine the probability that a double (a 1, 1 or 2, 2, etc.) is rolled. d) Determine the probability that a sum of 3 is rolled. e) Determine the probability that a sum of 6 is rolled. f) Are you as likely to roll a sum of 3 as you are of rolling a sum of 6? a) There are points in the sample space. b) Construct a tree diagram. Choose the correct answer below. O Click here to view choice c. O Click here to view choice d. O Click here to view choice a. O Click here to view choice b. What is the sample space? Choose the correct answer below. O A. 12, 13, 14, 15, 16, 21, 23, 24, 25, 26, 31, 32, 34, 35, 36, 41, 42, 43, 45, 46, 51, 52, 53, 54, 56, 61, 62, 63, 64, 65What is the sample space? Choose the correct answer below. O A. 12, 13, 14, 15, 16, 21, 23, 24, 25, 26, 31, 32, 34, 35, 36, 41, 42, 43, 45, 46, 51, 52, 53, 54, 56, 61, 62, 63, 64, 65 O B. 11, 13, 15, 22, 24, 26, 31, 33, 35, 42, 44, 46, 51, 53, 55, 62, 64, 66 O C. 11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66 O D. 11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36 c) The probability that a double is rolled is (Simplify your answer.) d) The probability that a sum of 3 is rolled is( / U. 1 1, 16, 13, 14, 19, 10, 21, 26, 23, 24, 23, 20, 31, 34, 3, 34, 23, JU c) The probability that a double is rolled is Simplify your answer.) d) The probability that a sum of 3 is rolled is Simplify your answer.) :) The probability that a sum of 6 is rolled is Simplify your answer.) f) Are you as likely to roll a sum of 3 as you are of rolling a sum of 6? O Yes, because the probability of rolling a sum of 3 is the same as rolling a sum of 6. Yes. because there is no way to roll a sum of 3 or a sum of 6.iii The probability That a sum of3 is rolled is D. [Simplify your answer.) e] The probability That a sum of 6 is rolled is D. {Simplify your answer] f] Are you as likely to roll a sum of3 as you are of rolling a sum of IE? Yes because the probability of rolling a sum of 3 is The same as rolling a sum of 5. Yes because there is no Iway to roll a sum of 3 or a sum of E. No, because you are less likely to roll a sum of 3 than you are to roll a sum of E. 0000 No, because you are more likely to roll a sum of 3 than you are to roll a sum of E