An urn contains 5 white and 3 black balls. Two balls are drawn at random without replacement. If X denotes the number of white balls, then find the probability distribution of X.

Generally the probability distribution of the number of white balls (X) is

       X             0                         1                   2

       P(X)        0.35714           0.5357         0.10714

Step-by-step explanation:

From the question we are told that

 The number of white balls is  

  The number of black balls is  

Generally the total number of balls the urn contains is

Generally the probability that of the two balls drawn that the balls are  2 white balls and  0 black balls is

Here C stands for combination hence we would be making use of the combination feature in our calculator

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Generally the probability that of the two balls drawn that the balls are  1 white balls and  1 black balls is

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Generally the probability that of the two balls drawn that the balls are  0 white balls and  2 black balls is

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Generally the probability distribution of the number of white balls (X) is

       X             0                         1                   2

       P(X)        0.35714           0.5357         0.10714

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