Question

Thirteen cards are dealt on the table from a deck of standard playing cards. Compute the probability: Pr (aces of spade ...


Thirteen cards are dealt on the table from a deck of standard playing cards. Compute the probability: Pr (aces of spade and heart)

Answer

here Thirteen cards are dealt on the table from a deck of standard playing cards. 

here total 52 cards in decks

total 4 aces cards in deck

 

now here use hypergeometric distribution

p(X)  = SXN-SN-xNn

n= #sample = 13

N =#population = 52

X= #favorable in sample

N= #favorable in population 

 

there is only one ace of spade ,  one ace of heart 

Now ,

Required Probability

 = 111150115213=0.058823   ans

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