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 postulate of the corresponding angles establishes that when a transversal line cuts two parallel lines, the corresponding angles are congruent. These angles are on the same side of the parallel lines and on the same side of the transversal line.
Then, if we based on this definition and analize the figure attached, we can notice that the angles ∠1 and ∠3 are corresponding angles, so they are congruent. In this case the angle ∠1 is internal and the angle ∠3 is external.
The answer is: ∠1 and ∠3 are congruent (See the image attached).
Answer:
Slope form of line y = 4x +41
Step-by-step explanation:
m= 4
The y-intercept of the line that passes through the given point (-9,5) is
5 = 4(-9) + b
b= 5 +36
b=41
The equation of the line that passes through the given point (-9,5) is
y =mx +b
y = 4x +41
Answer:
Well, in math..
for example, There is triangle ABC, and ur translating it 3 units to the right on a grid...
The new triangle will be called A'B'C' cause its a new one... and to differenciate from the two, to not get mixed up, between them
Stepby-step explanation:
Hope I helped...
Brainliest, please??? Hee Hee
Answer:
The correct answer is -7.5 years.
Step-by-step explanation:
Given:
Principle amount = 12000
Interest = 4320
time = ?
rate = 4.8 simple interest
Solution:
We know that simple Interest I = (P*t*r)/100
then t = I*100/p*r
putting values in formula:
t = 4320*100/4.8*12000
= 432000/57,600
= 7.5 years
