When two dice are thrown simultaneously, thus number of event can be 62 = 36 because each die has 1 to 6 number on its faces.
"\\def\\arraystretch{1.5}\n \\begin{array}{c:c:c:c:c:c:c}\n & 1 & 2 & 3 & 4&5 & 6 \\\\ \\hline\n 1 & (1,1) & (1,2) & (1,3)& (1,4) & (1,5) & (1,6) \\\\\n \\hdashline\n 2 & (2,1) & (2,2) & (2,3)& (2,4) & (2,5) & (2,6) \\\\\n \\hdashline\n 3 & (3,1) & (3,2) & (3,3)& (3,4) & (3,5) & (3,6) \\\\\n \\hdashline\n 4 & (4,1) & (4,2) & (4,3)& (4,4) & (4,5) & (4,6) \\\\\n \\hdashline\n 5 & (5,1) & (5,2) & (5,3)& (5,4) & (5,5) & (5,6) \\\\\n \\hdashline\n6 & (6,1) & (6,2) & (6,3)& (6,4) & (6,5) & (6,6) \\\\\n \\hdashline\n\\end{array}" a. A sum of 9
"(3,6), (4,5), (5,4), (6,3)"
"P(sum=9)=\\dfrac{4}{36}=\\dfrac{1}{9}" b. sum of 7 or 11
"(1,6),(2,5),(3,4), (4,3), (5,2),(5,6), (6,1),(6,5)"
"P(sum=9\\ or\\ sum=11)=\\dfrac{8}{36}=\\dfrac{2}{9}" c. Doubles
"(1,1), (2,2), (3,3), (4,4),(5,5),(6,6)"
"P(doubles)=\\dfrac{6}{36}=\\dfrac{1}{6}" d. A sum less than 9
"(1,1), (1,2), (1,3), (1,4),(1,5),(1,6),""(2,1), (2,2), (2,3), (2,4),(2,5),(2,6),""(3,1), (3,2), (3,3), (3,4),(3,5),""(4,1), (4,2), (4,3), (4,4),""(5,1), (5,2), (5,3),""(6,1), (6,2)"
"P(Sum<9)=\\dfrac{26}{36}=\\dfrac{13}{18}"
e. A sum greater than or equal to 10
"(4,6), (5,5), (5,6), (6,4),(6,5),(6,6)"
"P(Sum\\geq10)=\\dfrac{6}{36}=\\dfrac{1}{6}"
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