Four Bad Oranges Are Mixed Accidently With 16 Good Oranges. Find The Probability Distribution Of The Number Of Bad Oranges In A Draw Of Oranges.

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Question

Four bad oranges are mixed accidently with 16 good oranges. Find the probability distribution of the number of bad oranges in a draw of oranges.

Solution

Correct option is

Let X denote the number of bad oranges in draw of 4 oranges drawn from group if 16 good oranges in the group, therefore X can take values 0, 1 and 2

Now,

     P(X = 0) = Probability of getting no bad orange

⇒ P(X = 0) = Probability of getting 2 good oranges 

P(X = 1) = Probability of getting one bad oranges 

  

Thus, the probability distribution of X is given by

         

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