Question

Two card decks are drawn from a standard 52-card deck, without replacement. Find the probability that they are both aces.

A. 1/2652
B. 3/676
C. 1/221
D. 1/169

Answer 1

I'm sorry, when I answered this I'm pretty sure I wasn't in algebra two yet. The correct answer is 4/52 * 3/51 = 1/221

Answer 2

Option C. 1/221

Explanation:

Total cards in a standard deck of cards = 52

Number of ace in a deck of cards = 4

So probability to draw an ace
`P_(1)=(4)/(52)`

Since the cards were drawn without replacement means remaining cards in deck of cards now = 51

Number of aces remaining = 3

So probability of drawing another ace
`P_(2)=(3)/(51)`

Now probability to draw both the aces

=
`P_(1)* P_(2)`

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

=
`(1)/(221)`

Option C. is the answer.