Respuesta :
The probability that all 4 players are dealt 13 cards of the same suit= 4.47%
What is Probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
According to the given information:
If 52 cards are dealt to four players, then each of the four player will receive = 52/4 = 13
so,
n = 52
k = 4
n[tex]_1\\[/tex] = 13
n2 = 13
n3 = 13
n4 = 13
To ensure that each player receives all the cards in a single suit, there are four distinct ways to deal the cards. (There are exactly the same number of ways to assign each player one of four items, or suits.)
The number of ways to deal out the cards is:
(52/13)
(39/13)
(26/13)
(13/13)
So,
You choose 13 cards to give to the first player, 13 to the second, etc.
Using the rule for probability:
you get:
= 4!/((52/13)*(39/13)*(26/13)*(13/13))
= 4!/(52!)(13!)^4
= 4.47
The probability that all 4 players are dealt 13 cards of the same suit= 4.47%
To know more about Probability visit:
https://brainly.com/question/14718879
#SPJ4
I understand that the question you are looking for is :
Bridge is a card game played by four players with a standard 52-card deck All 52 cards are dealt to the four players at the beginning of each hand. In a game of Bridge, what is the probability that all 4 players are dealt 13 cards of the same suit?
