1 sequence of outcomes that contains all doubles when two identical dice are rolled n successive times.
There are 6 possible doubles that can be rolled on a pair of dice (1-1, 2-2, 3-3, 4-4, 5-5, 6-6).
Let's consider the probability of rolling a double on a single roll:
The probability of rolling any specific double (such as 2-2) on a single roll is 1/6 × 1/6 = 1/36 since each die has a 1/6 chance of rolling the specific number needed for the double.
The probability of rolling any double on a single roll is the sum of the probabilities of rolling each specific double is 1/36 + 1/36 + 1/36 + 1/36 + 1/36 + 1/36 = 1/6.
Let's consider the probability of rolling all doubles on n successive rolls. Since each roll is independent the probability of rolling all doubles on a single roll is (1/6)² = 1/36.
The probability of rolling all doubles on n successive rolls is (1/36)ⁿ.
The number of sequences of outcomes that contain all doubles need to count the number of ways to arrange the doubles in the sequence.
There are n positions in the sequence, and we need to choose which positions will have doubles.
There are 6 ways to choose the position of the first double 5 ways to choose the position of the second double (since it can't be in the same position as the first) and so on.
The total number of sequences of outcomes that contain all doubles is:
6 × 5 × 4 × 3 × 2 × 1 = 6!
This assumes that each double is different.
Since the dice are identical need to divide by the number of ways to arrange the doubles is also 6!.
The final answer is:
6!/6! = 1
For similar questions on sequence
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retail price= $120
markup percent= 40%
what is the original cost
Sam owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores does the restaurant operate in 2007?
Answer:
370 stores
Step-by-step explanation:
Given data
initial number of stores P= 200
r= 8%
t= 1999-2007= 8 years
Let us apply the compound interest expression to find the final amount of stores
A= P(1+r)^t
A= 200(1+0.08)^8
A= 200(1.08)^8
A= 200*1.85
A=370
Hence the number of stores in 2007 is 370 stores
possible number of learners in the
in a village, the bell rings every 30 minutes at the Junior School and every 40
minutes at the High School Both schools start lessons at 8:00 am
At what times between 8.00 am and 2.30p.m do the bells both rring
Find multiples of 30 and 40:
30: 30, 60, 90, 120, 150
40: 40, 80, 120, 160
The least common multiple is 120, so every 120 minutes they willl both ring.
1 hour = 60 minutes:
120/60 = 2 hours.
The bells ring together every 2 hours.
8 + 2 = 10 am
10 + = 12pm
12 + 2 = 2 pm
The bells will ring together at am, 12 pm and 2 pm.
Answer:
Solution :-At first common multiple of 30 an 40
[tex] \sf \to \: 30 = 30,60,90,120[/tex]
[tex] \sf \to \: 40 = 40,80,120[/tex]
Common Multiple = 120
Time taken = 120/60 = 2 hrs
Now,
8.00 + 2 = 10.00 am
10.00 + 2 = 12.00 noon
12.00 + 2 = 2.00 pm
[tex] \\ [/tex]
is a parallelogram with 4 congruent sides a square ?
Answer:
oopppppp yes
Step-by-step explanation:
Answer:
Yes
Good luck, and have the most amazing day!
Solve for x: 5x – 2 = 13
GIVING BRAINLIST!! Please help
Answer:
3
Step-by-step explanation:
5x - 2 = 13
+2 +2
5x = 15
÷5 ÷5
x = 3
Have a great day <3
Answer:
x=3
Step-by-step explanation:
Ms. Brown bought 6 boxes of pencils with a total of 240 pencils. How many pencils were in each box?
Answer:
40
Step-by-step explanation:
You need to divide 240 by 6 since there are 6 boxes and 240 pencils. If you do that, you will get 40. Hope it helps :)
Answer:
40
Step-by-step explanation:
240/6=40
just answer please hurry
Answer:
2.7 pages and 1.7 pounds of rice
Step-by-step explanation:
2.7 pages in one minute because 27/10=2.7
and 1.7 pounds of rice can be purchased for a dollar because 15/9 is about 1.7
(Grade 7 math) What is the area of the triangle when b=3.5 and h=3? B is the base and h is the height
Answer:
The area of the triangle
A = 5.25 square units
Step-by-step explanation:
Explanation:-
Given that the base of the triangle(b) = 3.5
The height of the triangle(h) = 3
The area of the triangle
[tex]A = \frac{1}{2} base X height[/tex]
[tex]A = \frac{1}{2} (3.5) (3)[/tex]
A = 5.25 square units
Calculate the slope of the line that contains the points (-3, -2) and (7, 2)
Answer:
the slope= 2/5
When the points plotted on a graph that are joined together produce a straight line, which graph do we obtain
Answer:
linear graph
Step-by-step explanation:
if the points are coming in a straight line it is linear
Emir's Ice Cream Shop sold 1 sundae with nuts and 7 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the total number of sundaes?
Answer:
1:7
Step-by-step explanation:
g(3) =
g(-2) =
g(0) =
9(-1) =
g(8)
g(-4)
PLEASE HELPPP!!!
Answer:
-4 Cot (−45)-4cot(-45)Sin (330)sin(330) Csc (60)
Step-by-step explanation:
7 + 9 divided by 2
zzzzzzzzzzzzz
Pewdie-pie coco-melon dis-track cause yt banned. You can find it on StilBS chan.nel
Andre has 5 notebooks. Each notebook contains 60 sheets of paper. How many total sheets of paper does Andre have in his notebooks?
Answer:
5 x 60 = 300 pages
Step-by-step explanation:
Answer:
5x60=300
Step-by-step explanation:
If he has 5 note books with 60 pages each he has 300 pieces of paper
E
C
5
4
9
B
D
C
Solve for x
Que se debe hacer es una pregunta???
65°
(х + 72)
i need help with x
Answer:
65x+4680
Step-by-step explanation:
Factorise x²+8x+12plz give answer
Answer:
(x+6)(x+2)
Step-by-step explanation:
we have
ax²+bx+c
To factor parabolas we need to find a number that adds to b (or 8) and mulitplies to a*c (or 12)
The numbers 6 and 2 fit this criteria which means we have
(x+6)(x+2)
Answer:
i.d.k the answer so sorry
Step-by-step explanation:
knkn
Just need answer for both
Answer:
First one: 12 ft
Second one: 50ft^2
Step-by-step explanation:
Because both triangles are congruent, any value on one triangle is the same one on the other triangle so CBD= 12ft for the perimeter
Second one:
because both triangles are congruent like I stated above, both triangle are congruent.
But in this case we have to find the area of the whole rectangle.
What we do here is multiply 25 by 2
or
add 25+25
our answer is 50ft^2
Jacy has $1,000 to invest in either a fund that pays approximately 4.6% per year or in a savings account with an annual interest rate of 1.8%. Write a polynomial function S(x) to represent the interest Jacy will earn in 1 year by investing x dollars in the fund and the remainder in the savings account.
Answer:
.046x
Step-by-step explanation:
divide 450 in the ratio 2 is to 3 is to 5
Answer:
90 : 135 : 225
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 + 5 = 10 parts
Divide the number by 10 to find the value of one part of the ratio
450 ÷ 10 = 45 ← value of 1 part of the ratio, then
2 parts = 2 × 45 = 90
3 parts = 3 × 45 = 135
5 parts = 5 × 45 = 225
Then
450 in the ratio 2 : 3 : 5 is 90 : 135 : 225
Cheryl signs up for a savings account that guarantees an increase in her savings at a fixed rate of $15 per month. She plans to withdraw the money when it is more than twice the original amount of $200. Find the least number of complete months that Cheryl has to keep the money in the account for.
Answer: 14 months.
Step-by-step explanation:
Given: Original amount = $ 200
Fixed rate of growth = $15 per month
Let x be the number of months that Cheryl has to keep the money in the account for.
Then, [tex]200+15x=2(200)[/tex]
[tex]\Rightarrow\ 200+15x>400\\\\\Rightarrow\ 15x >400-200\\\\\Rightarrow\ 15x>200\\\\\Rightarrow x>\dfrac{200}{15}\\\\\Rightarrow x>13.333333\\\\\Rightarrow\ x=14[/tex]
Hence, it will take 14 months .
Find the value of x and y.
Answer:
This is a triangle with 2 equal angles and equal to 60
=> this is an equilateral triangle
=> y = 60
4x.3 = 54
=> y = 60
x = 54/12 = 4.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
if two angles are 60 degrees, the third one is also 60 degrees
that means all the sides are equal
if one side is 4x
4x+4x+4x=54
12x=54
x=4.5
Eight less than 7 times a number is -29.
Answer:
7x-8=-20
Step-by-step explanation:
What is the line of reflection for the trapezoids?
On a coordinate plane, trapezoid A B C D has points (5, 4), (6, 4), (8, 3) and (5, 3). Trapezoid A prime B prime C prime D prime has points (1, 4), (0, 4), (negative 2, 3), (1, 3).
Answer:I believe it’s A(x=3)
Step-by-step explanation:
Consider 3y+6x+3 in the form y= ax+b. Find the constants a and b.
Answer:
a= -2 and b= 0
Step-by-step explanation:
Sorry the picture is a bit blurry
Can someone help me please?! I’ll make you brainlest.
What is the average rate of change of g over the interval [-2,4]
Answer:
3Average = sum of all the observations
Total number of observations
Average = 2+4
2
Average = - 6
2
3
Is one-half of a square smaller than one-quarter of the same square? How do you know?
Answer:
No
Step-by-step explanation:
one-half is bigger than one-quarter of the same square
Can someone help me with my homework
Answer:
lol i ltterally don't know what this is and im in algebra
Step-by-step explanation:
Answer:
1. Angle EFC and DCF
2. All angles of a parallelogram add up to 360 so 4x-15+127=180 degrees
3. (4) 150 degrees
4. P = 45 degrees
Step-by-step explanation:
Pls help me with this my sister’s going to take my phone in 10 minutes and I will give brainleast
Answer:
What are the closer two numbers together the then you find the slope
Step-by-step explanation:
Answer:
1x-6
Step-by-step explanation:
Slope Form: Mx+b
Slope Formula: y2-y1/x2-x1
(4,-2) (5,-1)
-1-(-2)= 1
5-4=1
1/1=1
Y-intercept: -6
Hope this helps!