MathematicsState true or falseA box contains 7 red, 8 green and 5 white marbles. If one marble is drawn at random from the box, the probability that it is neither red nor white is 25.

State true or false


A box contains 7 red, 8 green and 5 white marbles. If one marble is drawn at random from the box, the probability that it is neither red nor white is 25.


  1. A
    True
  2. B
    False 

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    Solution:

    Given that there are 7 red, 5 white and 8 green marbles in a box.
    Total number of marbles are,
     7+5+8=20 n(S)=20
    Total number of green marbles, n(E)=8
    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)
    Probability of getting neither red nor white marble is equal to the probability of getting green marbles P(G) is,
    P(G)=820
    P(G)=25
    Therefore, the probability of getting neither red nor white marble is 25.
    Hence, option 1 is correct and the statement is true.
     
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