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2.) Two distinct fair dice are rolled at the same time and the number of dots appearing on both are counted. Find the probability that this sum is (Show your Work)A.) 3 or 12 B.) at least a 6

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2.) Two distinct fair dice are rolled at the same time and the number of dots appearing on both are counted. Find the probability that this sum is (Show your Work)

A.) 3 or 12 B.) at least a 6

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Step 1
  1. Probability that the sum is 3

It is possible only in following combinations:

  • Dice one has 1 dice and dice 2 has two dots
  • Dice 1 has two dots and dice 2 has one dot.

Total number of combinations that two dice can make = 6*6 =36

Step 2
Probability that the sum is 3 2/36 1/18
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Probability that the sum is 3 2/36 1/18

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Step 3

Probability that the sum is 3 = 2/36 = 1/18

Probability that the sum is 12

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