Erin has 4 cards, one with the letter A, one with the letter B, one with the letter C, and one with the letter D. She places the cards in a row in random order.

What is the probability that either the words BAD or CAB will appear as part of the row?

Answers

Answer 1

Answer:

P = 1/6

Step-by-step explanation:

We have 4 places where we can put the cards.

Let's count the number of possible outcomes for each place.

In the first place, we can put one of 4 cards.

in the second place, we can put one of 3 cards (because there is already one card in the first place)

In the third place, we can put one of 2 cards

In the last place, we can put one of one cards.

The total number of different combinations is the product between the number of options for each place, then we have:

C = 4*3*2*1 = 24

Now we need to count the number of combinations such that the words BAD or CAB appear.

Those are:

BADC

CBAD

CABD

DCAB

4 outcomes out of 24.

Then the probability will be equal to the quotient between the number of outcomes where one of these words appears (4) and the total number of possible outcomes (24)

The probability is:

P = 4/24 = 1/6

Answer 2

The probability would be 16.7%


Related Questions

10.
The lines graphed below show the amounts of water in two tanks as they were being
filled over time.
TANK FILLING RATES
+
Amount of Water (gallons)
1,800
1,600
1,400
1,200
1,000
800
600
400
200
Tank A
Tank B
0
0.5
1 1.5 2
Time (minutes)
For each tank, explain whether or not there is a proportional relationship between
the amount of water, in gallons, and the time, in minutes. If there is a proportional
relationship, identify the unit rate. Use specific features of the graph to support
your answer
hp

Answers

Answer: Step-by-step explanation:

A proportional relationship exists. Since the graph is a straight line, you can say.

Tank A's unit rate is 666 2/3 gallons per minute. You'll figure it out by multiplying 1000 gallons by 1.5 minutes. 1000 divided by 1.5 equals 666.66 gallons, or 666 2/3 gallons.

The unit rate for Tank B is 300 gallons per minute. You can determine this by using 600 gallons in 2 minutes. 600/2 = 300 gallons per minutes

Find the 9th term of the geometric sequence show below

Answers

Answer:

40x^20

Step-by-step explanation:

Each sequence the x value doubles.

Each sequence the x exponent goes up by 5

m
Which is equivalent to *_?
V2
OA.
xV2
2
2x
OB.
V2
Oc.
2x
12
OD.
D. **v2
2
O E V2x​

Answers

1233444567801082737373727272

A rectangle has an area of 4(x + 3) square units. x + 3= width, 4=length Use the distributive property to write an equivalent expression for the rectangle's area. Answer _______​

Answers

Answer:

4x + 12

Step-by-step explanation:

4*x + 4*3 = 4x + 12

Notice what has happened. The plus sign remains.The 4 multiplies by both the x and the 3

That's as far as you can take the problem. You cannot reduce it any further or combine it in any way. The reason is that the x has a 4 in front of it and the 12 has no x.

When those terms are separated by a plus or minus sign, the terms are not the same. Unlike terms cannot be combined.

Answer: 4x+12=4x+12 or 4x+12=4(x+3)

Step-by-step explanation:

(x+3)(4)=4(x+3)  *because length x width=areaDistribute 4 into the parenthesis 4x+12=4(x+3)you can go even further4x+12=4x+12

Hope this helps!

What is the volume of a rectangular sandbox that is 4 feet by 5 feet by 2 feet?

(A) 14ft
(B) 11ft
(C) 40ft
(D) 22ft

Answers

Answer:

40 ft

Step-by-step explanation:

lxbxh is 40 hope it helps have a great day Mark me as brainiest please

To find the volume of a rectangle, you multiply the length, width and height together, so 4 x 5 x 2 which gives you 40! The answer is C, 40! Hope this helps :)

the cost of 24 water bottles is $6. Which expression shows how to find the cost of 10 bottles of water? a.) 24/10 × 6
b.) 6/10 × 24
c.) 6/24 × 10
d.) 24/6 × 10 ​

Answers

Answer:

d. is ur answer

Step-by-step explanation:

A fire truck pulls up to a burning building with a person trapped at the 4th floor window which is 45 ft off the ground. The truck is parked 9 ft away from the building to give the firefighters and police room to work on the ground. The base of the ladder is 5 ft off the ground already because it is sitting up on the truck. If it takes 2 seconds to extend the ladder one foot, how long will it take the firefighters to extend the ladder to the window?

Answers

Answer:

108 seconds i belive

Step-by-step explanation:

40 x 2 = 80 seconds and if you add the 9ft 108 seconds

PLS HELP WILL GIVE BRAINLESS

Given 4 < a < 5, 2 < b < 4 Find: a / b

Answers

Answer:

I hope this helps!

Step-by-step explanation:

4<a<5

2<b<4   multiply

4x2 < axb < 5x4

8<ab < 20

Answer:

1<a/b<2.5

Step-by-step explanation:

bro you're gonna give me brainless ://

We are given 4<a<5 and 2<b<4 and are asked to find a/b.

Since there is a wide range of values of numbers from 4 to 5 and 2 to 4, there is no definite answer to this. However, we can take the most extreme values here and write them on the opposite ends of the inequality.

For example, the lowest value here is >4/4 (>1) because that is the smallest value from the first inequality divided by the largest value from the second inequality. The other extreme is the biggest value possible, which is <5/2 (<2.5).

Given these extremes, we can now rewrite the inequality.

(smallest value)<a/b<(largest value)

1<a/b<2.5

Mr. Dash recorded the odometer
readings in his car for a business trip.
Before the trip, the odometer read
23,125.6. At the end of the trip it read
23,219.1. If Mr. Dash is reimbursed
$0.51 for every mile, then about how
much will he be reimbursed?

Answers

Mr. Dash is reimbursed $47.69.

A pair of shoes has been marked up by 65%. If the original price was $40.00, what is the new price?

Answers

Answer:

First we need to see how many times 65% will make the price go up by 100%. We can see this by dividing 100 by 65. 100 divided by 65 is 1.53846153846. Now we can multiply 40 by 1.53846153846 and see what we get. 40x1.53846153846=$61.5384615384.

This is a lot of decibal numbers so if you seek more help then contact me on discord at Mousycritter#2842 for free advice!

Step-by-step explanation:

HELPP!!! 65 points GIVIN

Answers

its 3 1/4 you will thank me later :)

Answer:

the third one

3 1/4

Step-by-step explanation:

Which of the following terms correctly describe the object below?
Check all that apply.
A. Polygon
B. Pyramid
C. Triangle
D. Prism
E. Polyhedron
F. Square

Answers

Answer:

pyramid,  solid, polyhedron

Step-by-step explanation:

The given figure is a pyramid.

What is a pyramid?

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point. A pyramid is formed by connecting the bases to a vertex. Each edge of the base is connected to the vertex, and forms the triangular face, called the lateral face.

The given figure is a square pyramid, since it has a square base where all the edges are joined at a common vertex by four triangular faces. A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron. The most famous example of such a square pyramid is the Great Pyramid of Giza.

Learn more about pyramid here

https://brainly.com/question/13057463

#SPJ2

The total number of running yards in a football game was less than 100. The inequality x < 100 represents the situation.
Which graph represents the inequality?
95 96 97 98 99 100 101 102 103 104 105
O,
95 96 97 98 99 100 101 102103104105
o
95 96 97 98 99 100101102103104105
95 96 97 98 99 100 101 102103104105

Answers

Answer:

sorry I'm late but it's b I'm on unit test on edge

Answer: it is b

Step-by-step explanation:

HELP PLEASEEEEEEEEEE

Answers

the answer is A 7x-2!!

First CORRECT answer get branliest Please help! ​

Answers

Answer:

36^6 or 2176782336

Step-by-step explanation: if you multiply 10^2 would equal because you would multiply 10 by 10 and 4^3 would equal 64 because you would have to multiply four 3 times (4 x 4 x 4) and you subtract 100 and 64 (100 - 64) and you get 36 BUT, the question says "Give your answer as APO 6, so you put your answer as 36^6 or 2,176,782,336

Heme d hey the girl who helped me please hl

Answers

Answer:

Parallel segments → 1

perpendicular segments → 2

congruent segments → 3

[tex]---------[/tex]

hope it helps...

have a great day!!

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.

Answers

Answer:

Answer B will be the best answer for your question.

Step-by-step explanation:

Polygons usually have straight sides, but this one does not.

Identify the smallest of the similar triangles. Then find x

Answers

CDB is the smallest of the similar triangles. 169.

GIVING EVERYTHING IF CORRECT. No fake answers, you will be reported.

Answers

Answer:

283.5

Step-by-step explanation:

PLEASE HELP!! Given the diagram below, find the dimensions of the rectangle if the area is 128 square feet. What is the X=? Width=? Length=?

Answers

the answer is 9 for both 9+7= 16 and 9-1 =8 8*16=128

Which of the following is most likely the next step in the series?

Answers

Answer:

Its D

Step-by-step explanation:

A popcorn cup is in the shape of a cone. The slant height of the cone is 9 inches, and the diameter is 6.2 inches. What is the volume of the cone? Use pi equals 3.14.

Answers

Answer:

V = 262.61 m³

Step-by-step explanation:

Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.

Formula: The formula for the volume of a cone is V = 1/3hπr².

Solve: V = 262.610935 m³

What type of data display is shown below?
Student Grades
60
69
99
82
92
60
70
HA
100
80
90
O A. Histogram
O B. Box-and-whisker plot
C. Stem-and-leaf plot
O D. Scatterplot

Answers

The answer would be stem and leaf plot

Answer:

B) Box-and-Whisker plot

Marking as brainliest



So basically I need u to in ur on words for the reasoning to explain to me how I got my answer. An the answer is in the second box I circled it btw this is 9th grade algebra!

Answers

you knew that it had to be a total of $60.60 and that the flat cost of the plan is $48. so you subtracted the flat cost from the total cost to get the amount that could be spent on gigabytes of data. since you knew that the gigabytes cost $3 each, you divided the remaining budget (12.60) by $3 and got the number of gigabytes that she can get.

sorry if that's confusing or wordy! hope it helps!

ted is twice his sister's age and three years younger than joe. ted's sister is half of a century plus ten. how old is ted how old is ted's sister​

Answers

Answer:

120, 60

Step-by-step explanation:

half a century = 60 + 10 x 2 = ted.

she is 60.

How many solutions dose x+y=10 x+y=12

Answers

There’s are 2 choices bffbbcn

Answer:

There are infinite solutions.

Think about it. The equation says essentially:

12 + any number = 12 + any number.

y + 12 = y + 10 + 2

y + 12 = y + 12

  y - y = 12 - 12

       0 = 12 - 12

       0 = 0

Step-by-step explanation:

The perimeter of a rectangular mat is 16 feet. It is 6 feet long. How wide is it?
A 2 ft
B 1 ft
C3ft
D4ft

Answers

Answer:

2ft

Step-by-step explanation:

because perimeter of a rectangle formula is p=2(l+w)

Essentials of University Mathematics
Example 3.
Find the length of the vector PQ from the point P(3.-5. 2) to the
point QC-5.4.9)
Find a unit vector with the direction of PQ

Answers

Answer:

The length of the vector is of [tex]\sqrt{194}[/tex]

The unit vector with the direction of PQ is [tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]

Step-by-step explanation:

Vector from point P(3,-5,2) to Q(-5,4,9)

The vector is:

[tex]PQ = Q - P = (-5-3, 4-(-5), 9-2) = (8,9,7)[/tex]

The length is:

[tex]\sqrt{8^2+9^2+7^2} = \sqrt{194}[/tex]

The length of the vector is of [tex]\sqrt{194}[/tex]

Find a unit vector with the direction of PQ

We divide each component of vector PQ by its length. So

[tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]

The unit vector with the direction of PQ is [tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]

The net of a triangular pyramid is shown.

Each triangle in the net has a base length that measures 6 inches and a height that measures 4 inches. What is the surface area of the pyramid that can be formed from this net?

Answers

Answer:

48 in²

Step-by-step explanation:

4x1/2x4x6=48

If there were five times as many children as adults at the picnic and there were at least 120 people at the picnic, how many adults and children were at the picnic?

Answers

Answer:

20 adults

100 Children

Step-by-step explanation:

Answer: 20 adults and 100 children

Step-by-step explanation:

a = adults, c = children

120 = a + c

c = 5a

120 = a + 5a

120 = 6a

20 = a

20 times 5 is 100 so 100 children

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