1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ad-work [718]
3 years ago
6

WILL MARK AS BRAINLIEST 4. Suppose there is a card game where you are dealt a hand of three cards. You have already learned that

the total number of three-card hands that can be dealt from a deck of 52 cards is: 52C3=52!/49!3! 52C3=22100 Calculate the probability of getting a hand that has exactly two aces in it (A A X). Do this by finding out the number of possible hands that have exactly two aces, and then dividing by the total possible number of three-card hands that is stated above. Part A: Use the multiplication principle to tell the total number of three-card hands (permutations) that can be made with two aces. (2 points) Part B: In the answer from Part I, each two-ace hand got counted twice. For example, A A X got counted as a separate hand from A A X. Since order should not matter in a card hand, these are really the same hand. What is the actual number of two-ace hands (combinations) you can get from a deck of 52 cards?(2 points) Part C: Find the probability of drawing a three-card hand that includes two aces from a deck of 52 cards. Write your answer as a fraction. (2 points)
Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0

Answer:

Part A- 6

Part B- 3

Part C- 3/22100

Step-by-step explanation:

Part A-

Use the permutation formula and plug in 3 for n and 2 for k.

nPr=n!/(n-k)!

3P2=3!/(3-2)!

Simplify.

3P2=3!/1!

3P2=6

Part B-

Use the combination formula and plug in 3 for n and 2 for k.

nCk=n!/k!(n-k)!

3C2=3!/2!(3-2)!

Simplify.

3C2=3!/2!(1!)

3C2=3

Part C-

It is given that the total number of three-card hands that can be dealt from a deck of 52 cards is 22100. Use the fact that the probability of something equals the total successful outcomes over the sample space. In this case the total successful outcomes is 3 and the sample space is 22100.

I believe the answer is 3/22100

I honestly suck at probability but I tried my best.

You might be interested in
b. If the tank is then filled to capacity, how many half-gallon bottles can be filled with the water in the tank
d1i1m1o1n [39]

Step-by-step explanation:

if the tank is filled with a cap on field to capacity how many half gallons of bottles are filled it will be about well first you have to think how much is half a gallon and it's a half of a gallon is 2 quarts how big is the tank that's what you want to know if you want to fill it up cuz I haven't gotten this 2 quarts tell me how big is the tank

5 0
3 years ago
Hello there!
otez555 [7]

Answer:

24  Domain: s>=2  or s<=-2

25. 3x^2 +14x +10

26. x^2 -2x+5  

Step-by-step explanation:

24.  Domain is the input or s values

square roots must be greater than or equal to zero

s^2-4 >=0

Add 4 to each side

s^2 >=4

Take the square root

s>=2  or s<=-2


25.  f(g(x))  stick g(x) into f(u) every place you see a u

f(u) = 3u^2 +2u-6

g(x) = x+2

f(g(x) = 3(x+2)^2 +2(x+2) -6

Foil the squared term

       = 3(x^2 +4x+4) +2x+4-6

Distribute

       = 3x^2 +12x+12 +2x+4-6

Combine like terms

   =3x^2 +14x +10


26 f(g(x))  stick g(x) into f(u) every place you see a u

f(u) = u^2+4

g(x) = x-1

f(g(x) = (x-1)^2 +4

Foil the squared term

         = (x^2 -2x+1) +4

         = x^2 -2x+5  

7 0
3 years ago
a local sports team sells 6 tickets for $3,8 tickets for $4,and 10 tickets for $5.write a rule and equation to find out the cost
m_a_m_a [10]
Shsus sksugd fjdud 8272 hydksb shshs. Isnjsjdb
5 0
3 years ago
Circle P is divided into four central angles by the diameters AC and BD.
Vanyuwa [196]

Answer:

m∠CPD = 129.75°

Step-by-step explanation:

m∠APD + m∠APB = 180 since the angles are supplementary

x + 1 + 3x - 18 = 180

4x - 17 = 180

4x = 197

x = 49.25

m∠APB = 3(49.25) - 18 = 129.75

m∠APB = m∠CPD because the angles are vertical angles

m∠CPD = 129.75°

8 0
2 years ago
Please help, will give 10 points.
enot [183]

Answer:

length is 770 width is 410

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What is one drawback for using pen tests and red teams to find security issues?
    5·1 answer
  • Can someone please help me , I really need it
    15·1 answer
  • Which year is the best prediction for when 1206 people will attend graduate school?
    15·1 answer
  • Kaylee found the surface area, in square inches of a rectangular prism by using this formula.
    13·2 answers
  • What is 10 times 10. ?
    5·2 answers
  • What is the number of possible permutations of 8 objects taken 4 at a time?
    12·1 answer
  • What is 30% of 25.45?
    7·2 answers
  • I need help ASAP!!!!!!!!!!!!
    12·1 answer
  • Write a real world problem for: f + 5 = 9
    10·2 answers
  • Please help me thank you​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!