MathematicsState true or false:A bag contains 6 red, 5 black and 4 white balls. A ball is drawn from the bag at random. The probability that white ball drawn is 415.

State true or false:


A bag contains 6 red, 5 black and 4 white balls. A ball is drawn from the bag at random. The probability that white ball drawn is 415.


  1. A
    True
  2. B
    False 

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    Solution:

    Given that there are 6 red, 4 white and 5 black balls in a bag.
    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) Total number of balls are:
      6+4+5=15   n(S)=15
    Let E be the event of getting a white ball.
    Total number of white balls is 4.
    n(E)=4
    The probability of getting a white ball is,
    P(E)=Number of favourable outcomes n(E)Total number of outcomes n(S)
    P(E)=415
    Thus, the probability of getting a white ball is 415.
    Therefore, the given statement is true.
    Hence, option 1 is correct.
     
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