Bunuel wrote:

himanshuhpr wrote:

and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?

WHAT does this statement implies that 10 cards are withdrawn with replacement or without replacement ??

No replacement there, 10 cards are dealt and we are asked to find the probability that 10th card is a heart.

If there is no replacement then how is the (P) that the 10th card is 13/52 ??

there are many cases here to be considered here if there is no replacement such as:

H- Denotes heart X-may be any diamond, spade or club.

1. HXXXXXXXXH

2. HHXXXXXXXH

3. HHHXXXXXXH

.

.

.

.

.

9. HHHHHHHHHH

10. XXXXXXXXXH

All cases from 1 to 10 will have different probabilities for heart to be at the 10th place and it will take hell lot of time to calculate all of them.

For according to me the above solution by Ian is only valid if cards are replaced (Every card has a 13/52 = 1/4 chance of being a heart; it doesn't matter if it's the top card in the deck or the tenth card in the deck.)If that's the case that brings back me to my original question ----

how do we determine that the cards are replaced or not ?? based on the question given ....

When we have a case with replacement it's always clearly mentioned in the question. We are told that "Laura

", which means that there is no replacement whatsoever.

As for the question, concept behind it is discussed in the topics given in my previous post.