A total of 3 cards are chosen at random, without replacing them, from a standard deck of 52 playing cards. What is the probability of choosing 3 king cards? 113⋅351⋅125=15525 113⋅113⋅113=313 452⋅352⋅252=417576 113⋅113⋅113=42197

Respuesta :

Answer: [tex]\dfrac{1}{5525}[/tex]

Step-by-step explanation:

The total number of cards =52

The number of kings in the cards = 4

If repetition is not allowed , then the total number of ways of choosing 3 cards will be :-

[tex]52\times51\times50=132600[/tex]

The number of ways of choosing 3 kings will be :-

[tex]4\times3\times2=24[/tex]

Now, the probability of choosing 3 king cards will be :-

[tex]\dfrac{24}{132600}=\dfrac{1}{5525}[/tex]

Hence, the  probability of choosing 3 king cards  =[tex]\dfrac{1}{5525}[/tex]

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