Question

you draw 4 cards from a deck of cards, one after the other, without replacing them. What is the probability of drawing all 4 aces?

Answer 1

How many aces are there in the deck of 52 cards ??

Answer 2

There are 4 aces in the deck of 52 cards..

So, probability of selecting One Ace card will be :

\[P(First \; Ace) = \frac{4}{52}\]

Answer 3

Now that Ace has been taken and we have not replaced it in the deck:

So now you are left with 3 Aces and 51 cards in total..

Answer 4

Probability of choosing again an Ace will be:

\[P(Second \; Ace) = \frac{3}{51}\]

Similarly:

\[P( Third \; Ace) = \frac{2}{50}\]

And finally :

\[P( Fourth \; Ace) = \frac{1}{49}\]

Answer 5

So Total Probability of getting 4 aces will be :

\[P = \frac{4}{52} \times \frac{3}{51} \times \frac{2}{50} \times \frac{1}{49} = Calculate\]

Answer 6

Are you getting @sam66 ??

Answer 7

i think so, so would the answer be 1/270725?

Answer 8

I have not calculated it yet..

Wait...

Answer 9

Yep I got the same...

Answer 10

awesome, thanks sooo much

Answer 11

Welcome dear...