Probability of selecting a heart and then selecting a club from a deck

Question

Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a heart and then selecting a club.

Answer 1

We are sampling without replacement, so the probability is selecting a heart then selecting a club.

First draw : P(Selecting A Heart)= 13/52

Second draw: P(Selecting A Club|Heart)=13/51

So, the probability of both events happening is P(Selecting A Heart)*P(Selecting A Club|Heart)= 13/52*13/51

1/4*13/51=13/204

So, this is our probability of selecting a heart and then a club. Hope this helps!