Question

What is the probability, given a 52 card deck, of being dealt an Ace of spades, an Ace of hearts, and Ace of clubs, in that order.

Answer 1

----------------------------------------------------------------------------------------------------

Given,

Total number of cards =

and Number of an Ace of spades =

Note: According to question we have to find all these in a certain order

and since, there is nothing are repetition or replacement of cards are noted.

So, we will take it as Non replacement .

Now, Remaining cards = (since, an ace of spade drawn out)

and Number of an Ace of hearts =

Similarly,

Remaining cards = (since, an Ace of spades and an Ace of hearts drawn out ).

and Number of an Ace of clubs =

  

Now, we will product all the obtained probabilities as we need to take that order

(i.e. an Ace of spades and an Ace of hearts and an Ace of clubs) =

Required probability =