Question

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

What is the probability that both cards the player selects are aces?

Answer 1

2/52

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

`P(AA) =(1)/(221)`

Explanation:

Deck contains = 52 cards

Deck contains = 4 Aces

Probability of choosing ace first time

`= (4)/(52)`

Probability of choosing ace again without replacement

`=(3)/(51)`

Probability of 2 aces without replacement

`=(4)/(52) * (3)/(51)\\\\=(1)/(13) * (1)/(17)\\\\=(1)/(221)`