Question

A card player selects 2 cards from a deck of 52 cards at random without replacement. The deck contains 4 aces.

Answer 1

Answer:

2/52

Step-by-step explanation:

If he took one ace out of 52 cards then it would have been 4/52

but as he's taking 2 aces out of 52 cards it is 2/52

Answer 2

Answer:

$P(AA) =\frac{1}{221}$

Step-by-step explanation:

Deck contains = 52 cards

Deck contains = 4 Aces

Probability of choosing ace first time

                                                        $= \frac{4}{52}$

Probability of choosing ace again without replacement

                                                                                 $=\frac{3}{51}$

Probability of 2 aces without replacement

                                                               $=\frac{4}{52} \times \frac{3}{51}\\\\=\frac{1}{13} \times \frac{1}{17}\\\\=\frac{1}{221}$