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Consider a tensided die of which the sides display the numbers 1, 2, 3, and 4 according to this table: sideofdie \\12345678910 number displayed'l 1 1 1 2 2 2 3 3 4 Rolling two such dice is an experiment With the sample space (171) (172) (173) (174) 5_ (2,1) (2,2) (2,3) (2,4) _ (3,1) (3,2) (3,3) (3,4) (4,1) (4,2) (4,3) (4,4) (a Find the probability of the outcome (1, 1). Hint: It is not one-sixteenth. b ) ( ) Find the probability of not rolling doubles. (c) Find the probability that the sum of the rolls is at least seven. ( ) ) d Find the probability that doubles are rolled given that the sum of the rolls is less than seven. (e Find the probability that the sum of the rolls is less than seven given that doubles are rolled