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  • 21-12-2021
  • Mathematics
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(c) Sum greater than 9
When rolling two dice, the probability of rolling a sum greater than 9 is

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Аноним Аноним
  • 21-12-2021

Answer:

1/6

Step-by-step explanation:

On a fair die, there is a 1/6 chance of rolling any specific number for each die,

to roll a 10 you need (5, 5) or (6, 4) or (4, 6)

odds to roll a 10 are 1/6•1/6 + 1/6•1/6 + 1/6•1/6 = 3/36

to roll an 11 you need a (5, 6)  or (6, 5)

odds to roll an 11 are 1/6•1/6 + 1/6•1/6 = 2/36

to roll a 12 you need a (6, 6)

odds to roll a 12 are 1/6•1/6 = 1/36

so odds to roll a sum greater than 9 are 3/36 + 2/36 + 1/36 = 6/36 = 1/6

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