Laura has a deck of standard playing cards with 12 of the 60 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart? Choose the correct choice from the following options: A) 1/4 B) 1/5 C) 5/26 D) 12/42 E) 13/42
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 12/60 ??   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 12/60 = 1/6 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 ....   1/5
<result>B</result>
Laura has a deck of standard playing cards with 12 of the 60 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?