Refer to the table below. of the 36 possible​ outcomes, determine the number for which the sum​ (for both​ dice) is between 7 and 9.

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Pairs of numbers between 1 and 6 that add up to 7: 1+6, 2+5, 3+4, 4+3, 5+2, 6+1
Pairs of numbers between 1 and 6 that add up to 8: 2+6, 3+5, 4+4, 5+3, 6+2
Pairs of numbers between 1 and 6 that add up to 9: 3+6, 4+5, 5+4, 6+3

6 for 7, 5 for 8, 4 for 9. 15 in all

The probability that the sum​ (for both​ dice) is between 7 and 9 is 5/36

From the sample space of the sum of two dice, we have the following outcomes

  1. The outcome which the sum is between 7 and 9 = 5
  2. The total outcome = 36

So, the probability that the sum​ (for both​ dice) is between 7 and 9 is:

p = 5/36

Hence, the probability that the sum​ (for both​ dice) is between 7 and 9 is 5/36

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