(1/25)ans.

2÷50=1/25
------------__________-------------
at least two aces => in 4 drawn cards there MUST be 2 places reserved to aces i;e it is mmust to choose any 2 aces ,wewill select

2 aces from 52
-- cards left= 50 ,, places left for cards=4-2=2

select any 2 from 50 cards
=>> 2/50=1/25

Problem:

Find the probability of drawing 4 cards from a pack of 52 cards such that at least two cards will be aces.

Solution:

To find the probability of drawing 4 cards from a pack of 52 cards such that at least two cards will be aces, we need to determine the number of favorable outcomes and the total number of possible outcomes.

Favorable Outcomes:
To have at least two aces in the 4 cards drawn, we can have either 2 aces and 2 non-aces or 3 aces and 1 non-ace. Let's calculate each case separately:

Case 1: 2 Aces and 2 Non-Aces

- Number of ways to choose 2 aces from the 4 aces in the deck: C(4, 2) = 6
- Number of ways to choose 2 non-aces from the 48 non-aces in the deck: C(48, 2) = 1,128

Therefore, the number of favorable outcomes in this case = 6 * 1,128 = 6,768

Case 2: 3 Aces and 1 Non-Ace

- Number of ways to choose 3 aces from the 4 aces in the deck: C(4, 3) = 4
- Number of ways to choose 1 non-ace from the 48 non-aces in the deck: C(48, 1) = 48

Therefore, the number of favorable outcomes in this case = 4 * 48 = 192

The total number of favorable outcomes is the sum of the favorable outcomes in both cases: 6,768 + 192 = 6,960.

Total Outcomes:
The total number of ways to draw 4 cards from a pack of 52 cards can be calculated as C(52, 4) = 270,725.

Therefore, the total number of possible outcomes is 270,725.

Probability:
The probability of an event is given by the ratio of the number of favorable outcomes to the number of total outcomes.

So, the probability of drawing 4 cards from a pack of 52 cards such that at least two cards will be aces is:

Probability = Number of favorable outcomes / Number of total outcomes
Probability = 6,960 / 270,725
Probability ≈ 0.0257 (rounded to four decimal places)

Answer:
The probability of drawing 4 cards from a pack of 52 cards such that at least two cards will be aces is approximately 0.0257, or 2.57%.