Answer:
0.000024
Step-by-step explanation:
If the first player gets exactly five hearts, there are 39 cards left, 8 of which are hearts.
So, the probability of getting one heart is 8/39, for the second heart the probability is 7/38 and 6/37 and 5/36 for the 3rd and 4th hearts.
There are still 4 hearts in the deck, and the probability of getting a non heart is (35-4)/35=31/35, (34-4)/34=30/34,..., (27-4)/27=23/27 for the next 9 cards.
<em>As the event of taking a card is independent of the previous result</em>, the probability the second player gets exactly 4 hearts is
(8/39)*(7/38)*(6/37)*(5/36)*(31/35)*(30/34)***(23/27)
= 0.000024
