SOLUTION: Let's say that we choose 5 cards from 52 cards. i) What is the probability of getting an ace of spades? ii) What is the probability of getting any kind of ace in the 5 cards th

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Question 852813: Let's say that we choose 5 cards from 52 cards.
i) What is the probability of getting an ace of spades?
ii) What is the probability of getting any kind of ace in the 5 cards that we chose?
I'm stuck and can't figure it out. Any help would be really appreciated.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

choose 5 cards from 52 cards. 

(1C1)(51C4) represents the number of ways the one Spade Ace, could be put with

any other four cards from the deck.

 (52C5)  ALL the ways of choosing 5 cards from the deck

i) P(S Ace) = %281C1%29%2851C4%29%2F%2852C5%29

(4C1)(48C4) represents the number of ways one of the 4 Aces could be put with

any other four cards from the other 48 cards in the deck.

ii) P(1 Ace in any suit) = %284C1%29%2848C4%29%2F%2852C5%29