Answer:
Probability of Four of a Kind
The probability of being dealt four of a kind is 0.0002400960384. On average, four of a kind is dealt one time in every 4,165 deals.
Probability of Two Pair
On average, players get two pair about one time in every 21 deals.
Step-by-step explanation:
Probability of Four of a Kind
Let's execute the analytical plan described above to find the probability of four of a kind.
First, we count the number of five-card hands that can be dealt from a standard deck of 52 cards. This is a combination problem. The number of combinations is n! / r!(n - r)!. We have 52 cards in the deck so n = 52. And we want to arrange them in unordered groups of 5, so r = 5. Thus, the number of combinations is:
52C5 = 52! / 5!(52 - 5)! = 52! / 5!47! = 2,598,960
Hence, there are 2,598,960 distinct poker hands.
We count the number of ways that five cards can be dealt to produce four of a kind. It requires three independent choices to produce four of a kind:
Choose the rank of the card that appears four times in the hand. A playing card can have a rank of 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, or ace. For four of a kind, we choose 1 rank from a set of 13 ranks. The number of ways to do this is 13C1.
Choose one rank for the fifth card. There are 12 remaining ranks, from which we choose one. The number of ways to do this is 12C1.
Choose a suit for the fifth card. There are four suits, from which we choose one. The number of ways to do this is 4C1.
The number of ways to produce four of a kind (Num4) is equal to the product of the number of ways to make each independent choice. Therefore,
Num4 = 13C1 * 12C1 * 4C1 = 13 * 12 * 4 = 624
Conclusion: There are 624 different ways to deal a poker hand that can be classified as four of a kind.
Finally, we compute the probability. There are 2,598,960 unique poker hands. Of those, 624 are four of a kind. Therefore, the probability of being dealt four of a kind (P4) is:
P4 = 624 / 2,598,960 = 0.0002400960384
The probability of being dealt four of a kind is 0.0002400960384. On average, four of a kind is dealt one time in every 4,165 deals.
Probability of Two Pair
To find the probability for two pair, we execute the same analytical plan that we've used to compute the other probabilities.
There are 2,598,960 distinct poker hands.
Next, count the number of ways that five cards can be dealt to produce two pair. It requires five independent choices to produce two pair:
Choose the rank for cards of matching rank. A playing card can have a rank of 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, or ace. For two pair, we choose 2 ranks from a set of 13 ranks. The number of ways to do this is 13C2.
Choose the rank of the remaining non-matching card. There are 11 remaining ranks, from which we choose one. The number of ways to do this is 11C1.
Choose suits for the first two-card combination. There are four suits, from which we choose two. The number of ways to do this is 4C2.
Choose suits for the second two-card combination. There are four suits, from which we choose two. The number of ways to do this is 4C2.
Choose a suit for the non-matching card. There are four suits, from which we choose one. The number of ways to do this is 4C1.
The number of ways to produce two pair (Numtp) is equal to the product of the number of ways to make each independent choice. Therefore,
Numtp = 13C2 * 11C1 * 4C2 * 4C2 * 4C1
Numtp = 78 * 11 * 6 * 6 * 4 = 123,552
Finally, compute the probability. There are 2,598,960 unique poker hands. Of those, 123,552 are two pair. Therefore, the probability of being dealt two pair (Ptp) is:
Ptp = 123,552 / 2,598,960 = 0.04753901561
On average, players get two pair about one time in every 21 deals.
XYZ-QRS, and the scale factor from XYZ to QRS is 2/5. what is the length of side RS?
The distance between two towns is 21.673 km. Round of the distance to nearest 0.01 km.
Answer:
21.67
Step-by-step explanation:
look at the number next to 7 to determine how it will change.
The number is 3 which is under 5 so the 7 stays the same while 3 is gotten rid of
Use the given information to write a linear equation in slope- intercept form...
slope is -2 and the y-intercept is -6
Answer:
y= -2x + (-6)
or
y= -2x - 6
both work !
Step-by-step explanation:
Y equals 3X subtract two
Answer:
ok?
Step-by-step explanation:
is that even a question
WILL GIVE BRAINLEIST !!
Use the Distributive Property to simplify the expression.
7(p+q+9) =
Answer:
7p+7q+63
Step-by-step explanation:
Distributive property is basically just multiplying the outside number with the things that are in the parentheses. so 7*p is 7p, 7*q is 7q, and 7*9 is 63, so that makes your answer 7p+7q+63
Write the equation of an exponential function that has an initial
value of 150 and a growth rate of 4%, which occurs every 8
years.
Answer:
Step-by-step explanation:
if a=-1, b=2, c=0 find the value of 2a²+6-2b+4c
Answer:
4
Step-by-step explanation:
2(-1)²+6-2(2)+4(0)
2+2+0
4
Determine whether the curve is a function
Answer:
14 is a function, 15 is also a function
Step-by-step explanation:
You can use the vertical line test to see if a curve is a function. If the vertical line intersects the graph more tha one time, it not a fuction. If only one time, it is a function.
Answer:
14. Yes
15. No
Step-by-step explanation:
14. Passes vertical line test.
15. Does not pass vertical line test.
a. Find the common difference of the arithmetic sequence.
22, 19.5, 17, 14.5. ...
Answer:
69
Step-by-step explanation:
Answer:
a^n=-2.5m+24.5
Step-by-step explanation:
Use the formula a^n = a^1 + d (n-1) to identify the arithmetic system.
what is the greatest common factor of 42, 98 and 14?
Select all the values of x that make the inequality true. x < -4.8
A . 2
B 0.9
C -2.3
D -5
E -6.1
answer ASAP 2 answers are correct!
Answer:
D and E
Step-by-step explanation:
-5 and -6.1 are the only ones less than -4.8
PLEASE PLEASE PLEASE HELP!!!
Sara’s volleyball team has white jerseys and green jerseys. The probability of wearing a white jersey to a game is the same as the probability of wearing a green jersey. Sara drew a tree diagram to calculate all the possible outcomes for wearing jerseys to three games.
What is the probability that she will wear her green jersey for three games in a row?
1.5 or 50%
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Caleb is x years old. His sister is 10 years older than he is. If his sister is y years old, write an equation that relates their two ages.
Answer:
X + 10 = Y?
Step-by-step explanation:
I think that's it
Roberta purchased a container of cashews that weighs 5 kilograms. Lenjie purchased a container of cashews that weighs 4,900 grams. How many more grams of cashews did Roberta purchase?
If there are 5^5 people waiting in line for a concert. if the concert auditorium will only hold 11^3, How many people will not be allowed to enter the concert?
The number of people that will not be allowed to enter the concert would be = 1,794 people
What is subtraction?Subtraction is the removal of a value from a given data and it is one of the major arithmetic operations used on mathematics.
The number of people waiting in the line = 5^5 = 3125
The number of people that the auditorium can hold = 11^3 = 1331
The number of people that will not be allowed inside the auditorium can be gotten through the following:
= 3125 - 1331
= 1,794
Learn more about subtraction here:
https://brainly.com/question/28467694
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Assume that the readings on the thermometers are normally distributed with a mean of 0 and standard deviation of 1.00C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to P94 , the 94th percentile. This is the temperature reading separating the bottom 94% from the top 6%. What is the approximate temperature for P94?
Answer:give her brainlist she is right
Step-by-step explanation:
A class of 32 students earned
grades of A, B, C, or Don a test.
One-fourth of the students earned
an A Half of the remaining students
earned a B. Two students earned a
D. What fraction of the students
earned a C?
Answer:
5/16 Got a C
Step-by-step explanation:
A = 1/4 x 32
B = (32 - A)/2
D = 2
A = 8
B = (32 - 8)/2
B = 24/2
B = 12
D = 2
8 + 12 + 2 = 22
22/32 did not get a C
32/32 - 22/32 = 10/32
10/32 - > 5/16
Brandon and his friend adam both mow lawns. Brandon earns $375 mowing 15 lawns while Adam earns $500 mowing 25 lawns. What does this mean in this context? What does the average rate of change for each graph represents?
dogs r us uses the periodic inventory system to account for its merchandise a customer return merchandise purchase on credit for $400 with a cost to dogs RS of 100 and the return dies can be sold to other customers demonstrate their required journal entry to record The return by selecting all of the correct actions below
Please help with atleast some❤️❤️❤️
PLEASE HELP!!!!
-or show me where i can get this answer online
A
B
C
D
Answer: C
Step-by-step explanation:
Standard form for multi-variable expession( quadratic, trinomial, polynomial, etc) are represented by something like this.
ax^2+ bx+c, which means the stating term is the degree or exponet with the highest number then as we go right the degree go smaller.
So that means 5x^4 will be the starting term so a and b are ruled out. The next term will be x squared o x^2 so the only answer that has it second is C
Answer:
The answer is C
Step-by-step explanation:
Help me please please
Answer:
-1 1/2
Step-by-step explanation:
d(4) = 1/12 · (4 - 1) · (-6)
d(4) = 1/12 · 3 · (-6)
d(4) = 3/12 · (-6)
d(4) = 1/4 · (-6)
d(4) = -6/4 or -3/2
WILL GIVE BRAINLIEST
Use the Distributive Property to simplify the expression.
7(8+x+2) =
Answer:
7x+80
Step-by-step explanation:
7 times everything in the () and get
56+7x+24
combine like terms
7x+80
Answer:
70+7X
Step-by-step explanation:
7(8+X+2)
7(8)+7(X)+7(2)
=56+7X+14
=70+7X
Simplify answer should only contain positive exponents
Answer:
13) [tex]\frac{3m}{2n^2}[/tex] (answer (C))
14) [tex]\frac{4b}{3}[/tex] (answer (A))
Step-by-step explanation:
Problem 13)
Cancel out in PAIRS the common factors in numerator and denominator
[tex]\frac{3m^4n^2}{2m^3n^4} =\frac{3m}{2n^2}[/tex]
which agrees with answer C
Problem 14)
Cancel out in PAIRS the common factors in numerator and denominator
[tex]\frac{4a^2b^2}{3ba^2} =\frac{4b}{3}[/tex]
which agrees with answer A
Solve the equations
Answer:
1) D
2)B
3)A
4)B
5)C
6)C
Step-by-step explanation:
solve inequality
2<4 - 2/3x <8
Answer:
-6 < x < 3
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
The answer is 3 > x > −6
Write an equation of the line that passes through the given point
Answer:
I think 3 because the it is the positive side of y
and the other should be -3 because it is the negative side
What is the equation of the line in slope-intercept form?
Answer:
y=x+500
Step-by-step explanation:
y=x+500
If 4 melons sell for $0.52, how much would 7 melons cost?
Answer:
$3.64
Step-by-step explanation:
You Times $0.52 by 7
Use the Distributive Property to expand (−2x−7)4 .i need help
Answer:
-8x-28
Multiply all of the terms by 4, and you have your answer!
Answer: -8x - 28
Step-by-step explanation:
Multiply the number outside the parentheses by each number inside the parentheses - distributive property