Two cards are drawn without replacement from a well-shuffled deck of 52 cards. Determine the probability distribution of the number of face cards (i.e. Jack, Queen, King and Ace).

Explanation

`P(X=0)=P(barF).P(barF_2|barF_1)`
`=36/52xx35/51=105/221`
`P(X=1)=P(F_1)P(barF_2|F_1)+P(barF_1)P(F_2|barF_1)`
`=16/52xx36/51+36/52xx16/51=96/221`
`P(X=2)=P(F_1).P(F_2|F_1)`
`=16/52xx15/51=20/221`
`therefore` The required probability distribution is