MathematicsIn a simultaneous throw of a pair of dice, what is the probability of getting a sum less than 7?

In a simultaneous throw of a pair of dice, what is the probability of getting a sum less than 7?


  1. A
    512
  2. B
    112
  3. C
    1
  4. D
    0 

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    Solution:

    It is given that pair of dice is thrown.
    When a pair of dice is thrown, we get,
    Sample space (S),
    Total number of outcomes = 36.
    Let A be the event of getting pairs whose sum is less than 7.
    Number of favorable cases = Number of pairs having sum less than 7
    {(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3),
    (4,1), (4,2), (5,1)}=15
    Then,
    P(A)=Number of favorable caseTotal number of case
    =1536
    =512
    Thus, the probability of getting pairs whose sum is less than 7 is 512.
    Therefore, option 1 is correct.
     
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