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Two cards are drawn at random from a standard deck of 52 cards. what is the probability that both cards are aces

2 Answers

3 votes
It is not indicated whether the first card is replaced before the second is taken... Let's consider both cases.
P
r
o
b
=
number of desirable outcomes
total number of possible outcomes
There are 4 aces in a deck of cards which has 52 cards in total.
If the first card is NOT replaced:
P (Ace, Ace) =
4
52
×
3
51
=
1
221
(The number of aces remaining is 1 less, and there is 1 less card to choose from.)
If the first card IS replaced , then the probability of drawing an ace stays the same every time a card is chosen:
P (Ace, Ace) =
4
52
×
4
52
=
1
169
Note: A probability should be given as a fraction, in the simplest form.
It is always a value from 0 to 1
0

(the outcome is impossible)
1

(the outcome is guaranteed)
User CsTamas
by
8.8k points
5 votes

Answer:

1/221

Explanation:

got it right on edge :)

User Uzhas
by
7.6k points

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