Event A Answer: [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
sum greater than 7 leaves are the following combinations for 8, 9, 10, 11, and 12:
8 = 26, 35, 44, 51, 62 (5 possibilities)
9 = 36, 45, 54, 63 (4 possibilities)
10 = 46, 55, 64 (3 possibilities)
11 = 56, 65 (2 possibilities)
12 = 66 (1 possibility)
This is a total of 15 possibilities out of 36 total: [tex]\frac{15}{36}[/tex] = [tex]\frac{5}{12}[/tex]
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Event B Answer: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
sum is an even number means both dice are odd or both dice are even. That results in the following combinations:
11 13 15
22 24 26
31 33 35
42 44 46
51 53 55
62 64 66
This is a total of 18 possibilities out of 36 total: [tex]\frac{18}{36}[/tex] = [tex]\frac{1}{2}[/tex]
