A card is drawn from a well-shuffled deck of 52 cards and then a second card is drawn. Find the probability that the first card is a heart and the second card is a diamond if the first card is not replaced.

Explanation

A= in first draw a heart comes up


B= in second draw a diamond comes up


`P(A)=frac{13}{52}=frac{1}{4} `

`
P(B / A)=frac{13}{51}`


`therefore P(A cap B)=P(A) times P(B / A)=frac{1}{4} times frac{13}{51}=frac{13}{204}`