You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second. find the probability that the first card is an ace and that the second card is an ace?
Mathematics · College · Tue Nov 03 2020
Answered on
We know,
Number of aces = 4
Total cards = 52
Probability = favorable outcome/Total outcome
Probability of getting an ace = 4/52
= 1/13
Now, without replacement ,
Remaining Number of aces = 3
And, total cards = 51
So, probability of getting an ace = 3/51
= 1/17
So, probability of getting 2 aces without replacement = 1/13 × 1/17
= 1/221
Thus, probability of getting 2 aces without replacing is 1/221