MathematicsTwo different dice are tossed together. Find the probability that the sum of numbers appearing on two dice is 5.

Two different dice are tossed together. Find the probability that the sum of numbers appearing on two dice is 5.


  1. A
    0.3
  2. B
    0.5
  3. C
    29
  4. D
    19 

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    Solution:

    Given, two different dice are tossed together.
    The possible outcomes are:
    (1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
    (2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
    (3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
    (4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
    (5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
    (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
    The P(E) of the random experiment as,
    P(A)=Number of favorable outcomesTotal number of outcomes
    Since the total number of outcomes when two dice are tossed together is 36.
    n(S)=36 Now,, the number of events appearing on the two dice is five,
    n(X)={(1,4),(2,3),(3,2),(4,1)}
    n(X)=4
    So, the probability that the number appearing on the two dice is five,
    P(E)=n(X)n(S)
    P(E)=436
    P(E)=19
    Therefore, the required probability is  19.
    Hence, option 4 is the correct answer.
     
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