You are dealt 5 cards out of a deck of 52.
a.) How likely is it to be dealt a hand with 4 Aces and the King of Hearts?
b.) Be dealt a hand with 4 Aces and a King?
c.) Be dealt a hand with 4 Aces?
I have the answers, but I need help with the solutions. No, this is not a graded hw assignment--it's for my own good!
2007-01-31 18:12:10 · 3 answers · asked by TomServo 3 in Science & Mathematics ➔ Mathematics
Only 1 of the C(52,5) poker hands contains 4 aces and K♥, so 1 / 2,598,960.
If any K will do, then C(4,4) • C(4,1) / C(52,5) = 4 / 2,598,960.
If 4 aces and anything else, 48 / 2,598,960
2007-01-31 18:24:42 · answer #1 · answered by Philo 7 · 1⤊ 0⤋
1) there is only one case is satisfying ur condiation that hand with 4 aces and king of hearts and total no. of cases are 52C5, so P= 1/ 52C5
2)here king card can be from any type, so there are 4 cases are satisfield the condition, so P= 4/ 52C5
3) Here 3rd card can be any card from remaining 48 cards
so P= 48/ 52C5
2007-02-01 03:02:45 · answer #2 · answered by Pradeep Chelani 2 · 0⤊ 0⤋
total possiblities: P(5,52)
a) only one situation so the answer is 1/P(5,52)
b)4 situations so 4/P
c)48 situations so 48/P
2007-02-01 02:20:02 · answer #3 · answered by Iman S 2 · 0⤊ 0⤋