Question

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?

Answer 1

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.

$\bold{The \: probability \: is \: 4/663}$