Two cards are drawn at random from a deck of 52 cards without replacement. What is the probability of drawing a 2 and an Ace in that order?
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A deck of 52 cards has 4 suits of 13 each
1) Clubs
2) Diamonds
3) Hearts
4) Spades
Each suit has 13 cards
Total number of cards = 52
Number of cards with "2" = 4
Number of cards with "Ace" = 4
Finding the probability of getting a "2" -
= 4/52
Finding the probability of an "ace" without replacement -
= 4/51
Probability of getting "2" and an "ace" without replacement -
(4/52) (4/51)
= 16 / 2652
= 4/663.
1) Clubs
2) Diamonds
3) Hearts
4) Spades
Each suit has 13 cards
Total number of cards = 52
Number of cards with "2" = 4
Number of cards with "Ace" = 4
Finding the probability of getting a "2" -
= 4/52
Finding the probability of an "ace" without replacement -
= 4/51
Probability of getting "2" and an "ace" without replacement -
(4/52) (4/51)
= 16 / 2652
= 4/663.
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