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The chance of getting 7 or 11 in a throw of 2 dice is?
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The chance of getting 7 or 11 in a throw of 2 dice is?
Probability of getting 7 or 11 in a throw of 2 dice


When rolling two dice, there are 36 possible outcomes. Each die has six possible outcomes, so there are 6 x 6 = 36 possible outcomes when rolling two dice.


What is the probability of rolling a 7?


There are six ways to roll a 7:


  • 1 and 6

  • 2 and 5

  • 3 and 4

  • 4 and 3

  • 5 and 2

  • 6 and 1


Since there are 36 possible outcomes, the probability of rolling a 7 is:

Probability of rolling a 7 = 6/36 = 1/6 or approximately 0.167 or 16.7%


What is the probability of rolling an 11?


There are two ways to roll an 11:


  • 5 and 6

  • 6 and 5


Since there are 36 possible outcomes, the probability of rolling an 11 is:

Probability of rolling an 11 = 2/36 = 1/18 or approximately 0.056 or 5.6%


What is the probability of rolling a 7 or 11?


Since there are six ways to roll a 7 and two ways to roll an 11, there are a total of eight ways to roll a 7 or 11:


  • 1 and 6 (7)

  • 2 and 5 (7)

  • 3 and 4 (7)

  • 4 and 3 (7)

  • 5 and 2 (7)

  • 6 and 1 (7)

  • 5 and 6 (11)

  • 6 and 5 (11)


Since there are 36 possible outcomes, the probability of rolling a 7 or 11 is:

Probability of rolling a 7 or 11 = 8/36 = 2/9 or approximately 0.222 or 22.2%
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