MathematicsState true or false:When a die is thrown, the probability of getting an odd number less than 3 is 12.

State true or false:


When a die is thrown, the probability of getting an odd number less than 3 is 12.


  1. A
    True
  2. B
    False 

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    Solution:

    Given that a die is thrown once.
    We know that the probability is given as the ratio of the number of favorable outcomes with the total number of possible outcomes.
    P(E)=Number of favourable outcomes n(E)Total possible outcomes n(S)
    Possible outcomes in a single throw of a die are:
    S={1,2,3,4,5,6}.
    n(S)=6
    Let E be the event of getting an odd number less than 3.
    There are only numbers which are less than 3 and odd is 1.
    n(E)=1
    So the required probability is,
    P(E)=Number of favourable outcomes n(E)Total number of outcomes n(S)
    P(E)=16
    Thus, the probability of getting a number less than 3 and odd is 16.
    Therefore, the given statement is false.
    The correct statement would be that the probability of getting a odd number less than 3 is 16.
    Hence, option 1 is correct.
     
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