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:

 
        
             
        
        
        
Hi,
Let  the
Youngest brothers age = x+2
Middle brothers age = x+4
Oldest brothers age = x+6  
So,
Youngest brothers age = x+2 = 28+2 = 30 years of age
Middle brothers age = x+4 = 28+4 = 32 years of age
Oldest brothers age = x+6 = 28+6 = 34 years of age
Have a great day!
 
        
             
        
        
        
First rectangle:
Has 3 cubes in each 5 layers, and imagine it, so we have all dimension needed which is:
l=3 unit
w=1 unit
h=5 unit.
V=l×w×h
V=3×1×5
V=15 cubic inches.
Second rectangular:
Doing the same like that to get:
l=5 unit
w=1 unit
h=3 unit
V=15 cubic inches. As a result, there are no prism that are greater to each other, which mean that they have the same volume of 15 cubic inches. Hope it help!
        
             
        
        
        
Answer:
first one is a and the second one is c 
 
        
                    
             
        
        
        
The change from 3/4 to 4/10 is found by obtaining and applying the LCD:
15/20 to 8/20 is a negative change, and the amount of the change was -7/20.
We compare this result to the original value, 15/20, to obtain the percentage change in the fraction:
   -7/20
----------- = -7/15 = -0.467  =>  -46.7%
   15/20