52 cards
A hand of five cards is dealt from a pack of 52 playing cards.
How many different hands can be dealt that contain at least three aces?
Your answer:
How many different hands can be dealt that contain at least three aces?
Your answer:
Showing 1 comment:
Peter
Two question can be asked:
How many different hands can be dealt that contain exactly three aces?
How many different hands can be dealt that contain at least three aces?
The correct approach is:
Exactly 3 aces: C(4,3)*C(48,2) = 4 * 1128 = 4512
Exactly 4 aces: C(4,4)*C(48,1) = 1 * 48 = 48.
At least 3 aces = 4512 + 48 = 4560.
How many different hands can be dealt that contain exactly three aces?
How many different hands can be dealt that contain at least three aces?
The correct approach is:
Exactly 3 aces: C(4,3)*C(48,2) = 4 * 1128 = 4512
Exactly 4 aces: C(4,4)*C(48,1) = 1 * 48 = 48.
At least 3 aces = 4512 + 48 = 4560.
Tips for related online calculators
Would you like to compute the count of combinations?
You need to know the following knowledge to solve this word math problem:
combinatoricsarithmeticbasic operations and conceptsnumbersGrade of the word problem
Related math problems and questions:
- Bridge cards
Determine the probability of a random event out of 10 randomly selected bridge cards. There will be at least three aces. Note This is a team game, with 52 cards in the deck, of which four aces. - Cards
The player gets eight cards of 32. What is the probability that it gets a) all four aces b) at least one ace - Playing cards
In how many possible ways can 6 playing cards be shuffled? - Green cards
We draw 4 cards from a deck of 32 cards. In how many ways can we draw: a) exactly 2 aces, b) exactly 3 green cards? - Cards From a set of 32 cards, we randomly pull out three cards. What is the probability of drawing two kings and one ace?
- Card drawing ways
How many ways can you draw eight playing cards from 32 playing cards when their order doesn't matter? - Hearts
3 cards are chosen from a standard deck of 52 playing cards (13 hearts) with replacements. What is the probability of choosing 3 hearts in a row?
