Answer:
The probability is 0.0052
Step-by-step explanation:
Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:
P(A/B) = P(A∩B)/P(B)
The probability P(B) that at least three are aces is the sum of the following probabilities:
- The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
- There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:

So, the number of ways to select exactly 3 aces is:

Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725
Then, the probability P(B) that at least three are aces is:

On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:
P(A∩B) = 1/270,725
Finally, the probability P(A/B) that all four are aces given that at least three are aces is:

Answer:
180
Step-by-step explanation:
100+82=182-2=180
Answer:
8%
Step-by-step explanation:
Its still 8% of her money
Answer:- 
Step-by-step explanation:
The given ration is 16 :40
In fraction, the above ratio can be written as : 
To write the above fraction in lowest terms, we need to divide the numerator and the denominator by the greatest common divisor.
Since,
, Hence, 8 is the greatest common divisor of 16 and 40.
Now, divide the numerator and denominator by 8, we get

To answer this you would divide 52 by 2.60 which is 20,
So, 28 / 20 = 1.40,
So the answer is $140 sales tax.
Hope this helps.