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Two cards aredrawn successively with replacement from a well shuffled pack of 52 cards.Find the probability distribution of number of jacks. |
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Answer» There are `4` jacks in a pack of `52` cards. So, probability when both drawn cards are not jacks, `P(J =0) = (52-4)/52**(52-4)/52 = 48/52*48/52 = 144/169` Probabilty of drawing `1` jack in any of the draw, `P(J =1) = (4/52**48/52)+(4/52**48/52) = 24/169` Probabilty of drawing `2` jacks, `P(J =2) = (4/52**4/52) = 1/169.` |
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