Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Find the probability distribution of number of jacks.

Explanation

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.`