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  • 14-12-2021
  • Mathematics
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A pair of dice is rolled. Determine the probability of a result with: i. one die showing a 4 and the other a 5?

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fkristen32
fkristen32 fkristen32
  • 14-12-2021

Answer:

2/11

Reasoning, there are 36 possible (and equally likely) combinations that we can obtain from two dice. Of these 11 (1,5 2,5 3,5 4,5 5,5 6,5 5,6 5,4 5,3 5,2 5,1) would allow us to ‘know’ that “one dice (not necessarily the first) has shown a 5”. Of these 11 possibilities only two also contain a 4. So the probability is 2/11

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