MathematicsThe probability of getting a bad egg in a lot of 400 is  0.035. Find the number of bad eggs in the lot.

The probability of getting a bad egg in a lot of 400 is  0.035. Find the number of bad eggs in the lot.


  1. A
    7
  2. B
    14
  3. C
    21
  4. D
    28 

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    Solution:

    It is given that the probability of getting a bad egg in a lot of 400 is 0.035.
    Total number of ways is 400 as the number of eggs in the lot is 400.
    Probability of the event is given is 0.035.
    The formula of the probability of an event is the number of favorable outcomes divided by the total number of outcomes.
      P(E)= no. of favorable outcomes   total number of outcomes   
    Hence, we can write that,
    p= n(bad eggs) n(Total)  
    Now the number of bad eggs is,
      n( Bad eggs )=p×n( Total ) n( Bad eggs )=0.035×400 n( Bad eggs )=14   Therefore, the number of bad eggs in the lot is 14.
    Hence, the correct option is 2.
     
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