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:

The measures of two angles have a sum of 90º if and only if the angles are complements.
if the angles are complementary they have to equal 90 otherwise they are not complementary
Answer:
8 maybe
Step-by-step explanation:
My guess but if it is not Sorry
<h2>Answer:
</h2><h2>14. 2z + 3yz - 6z +2yz + y - z - 4y
2z - 6z -4z - z
-5z + 3yz + 2yz + y - 4y 3yz + 2yz
-5z + 5yz + y - 4y
</h2><h2>Answer = -5z + 5yz - 3y </h2><h2 /><h2>15. -4ab + 3ax + ba - 6xa
-4ab + ba
Answer = -5ab - 3xa </h2><h2 /><h2>16. -c(3b - 7a)
-3bc - 7ac
Step-by-step explanation:
</h2><h2>Hopes this helps. Mark as brainlest plz!</h2>