Two cards are drawn successively without replacement from a well shuffled deck of 52 cards. Find the probability of exactly one ace.

Explanation

According to Question:

P( exactly one ace )=P( first card is ace )+P( second card is ace )

`=frac{4}{52} times frac{48}{51}+frac{48}{52} times frac{4}{51}`

`=frac{192+192}{52 times 51}`

`=frac{384}{52 times 51}`

`=frac{32}{221}`