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Deffense [45]
3 years ago
11

Triangle ABC is a right triangle

Mathematics
1 answer:
musickatia [10]3 years ago
6 0

Answer:

Okay.........so what's the problem???

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Four cards are dealt from a standard fifty-two-card poker deck. What is the probability that all four are aces given that at lea
elena-s [515]

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:

nCk=\frac{n!}{k!(n-k)!}

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

4C3*48C1=\frac{4!}{3!(4-3)!}*\frac{48!}{1!(48-1)!}=192

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:

P(B)=\frac{1}{270,725} +\frac{192}{270,725} =\frac{193}{270,725}

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:

P=\frac{1/270,725}{193/270,725} =\frac{1}{193}=0.0052

5 0
3 years ago
Write an equation and solve each problem. The ages of three brothers are consecutive integers with the sum of 96. How old are th
Alexxx [7]

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!

4 0
3 years ago
Can someone plz help me
Illusion [34]
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!
6 0
3 years ago
Help and i will give brainiest if you answer them all if random will report
Stels [109]

Answer:

first one is a and the second one is c

6 0
3 years ago
Read 2 more answers
A fraction changes from​ 3/4 to​ 4/10. The numerator changed by​ _____%; the denominator changed by​ _____%; the value of the fr
Korvikt [17]
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
4 0
3 years ago
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