The probability of getting a total of 7 on two dice thrown together is:

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SSC CGL Tier-II ( JSO ) 2021 Official Paper ( Held On: 10 August 2022 )
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  1. 6/36
  2. 5/36
  3. 8/36
  4. 7/36

Answer (Detailed Solution Below)

Option 1 : 6/36
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Detailed Solution

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The correct answer is \(\mathbf{\frac{6}{36}}\)

Key Points

  •  The probability of a particular event E occurring is given by \(P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes or sample space.}}\)
  • The sample space of this problem, where two dice are thrown together is 36
  • The sum of values on the dice resulting in a total of 7 is given by the following table:
    Serial number Value of observation in dice 1 Value of observation in dice 2
    1 1 6
    2 6 1
    3 3 4
    4 4 3
    5 2 5
    6 5 2
  • The number of favourable outcomes, in this case, is 6.
  • Let F be the event of getting a 7 when two dice are thrown together.
  • Therefore P(F)=\(\frac{6}{36}\)

Important Points

  •  Sample space is the set of all the possible outcomes in the given experiment. In this case, there are 36 outcomes possible when 2 dice are thrown together.
  • Event denotes the probability of getting a single outcome of an experiment. In this problem, the event is to get the value of 7.
  • The outcome is the result of the experiment.

Hence, the probability of getting a total of 7 on two dice thrown together is \(\frac{6}{36}\)

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