Activity 1. TAKING CHANCES WITH EVENTS A AND B
PS:THIS IS NOT A MULTIPLE CHOICE (use probability, click the picture for example)
1.) A card is randomly drawn from a deck of 52 cards. Find the probability of drawing:
A. A red card or a spade
B. A face card or an ace
C. A diamond and a 9
2.) Two pair of dice is rolled. Determine the probability
A. P(sum is 4or11)
B. P(sum is less than 5 or sum is greater than 8)
NONSENSE➪ REPORT
PLEASE HELP ME I NEED IT NOW
Answers
Answer:
39/52 (or 3/4)
16/52 (or 4/13)
1/52
5/36
16/36 (or 4/9)
Step-by-step explanation:
1.)
A.) Let R= red S=Spade RUS= R+S-A∩S odds of getting a red card is 26/52 the odds of getting a spade is 13/52 and the odds of getting a red card and a spade is 0 (which means these events are mutually exclusive)
13/52+26/52= 39/52
B.) F=face A=Ace we want FUA= F+A-F∩A
because these two events are mutually exclusive F∩A = 0
odds of getting a face: 12/52 odds of getting an ace: 4/52
12/52+4/52= 16/52
C.) D= diamond n=nine we're looking for D∩N intuitively we know that only one card in the deck is a nine as well as a diamond so the answer must be 1/52. We can confrim this through the fact that you can find the intersection of two independent events by multiplying them. So diamond: 13/52 and n= 4/52 13/52*4/52= 1/52
2.) let F= four E= eleven
A.) we're looking for FUE or F+E-F∩E (these events are mutually exclusive which means that F∩E = 0)
I think the easiest way to solve questions like these is to list out the possible outcomes
the outcomes that add to 4 are
1,3
2,2
3,1
and therefore the probability of having a sum of 4 is 3/36
the outcomes that add to eleven are
6,5
5,6
therefore the probability of having a sum of 11 is 2/36
3/36+2/36 = 5/36
B.) same deal as the one before
list out the outcomes
less than 5
1,1
1,2
1,3
2,1
2,2
3,1
so the odds of rolling two dice and having a sum less than 5 is 6/36
Now list the outcomes where the sum is greater than 8
3,6
4,5
4,6
5,5
5,6
5,4
6,3
6,4
6,5
6,6
the odds of rolling a sum greater than 8 is 10/36
take the sum and get 16/36
[tex] \huge \mathcal{ Answer࿐}[/tex]
Question 1.) Find Probability :
A. A red card or a spade .
Total red cards = total hearts + total diamonds
[tex] \longmapsto \: 13 + 13[/tex][tex] \longmapsto \: 26[/tex]Total spades = 13 cards
Favourable outcomes = 26 + 13 = 39now, probability of getting either A red card or a spade is :
[tex] \mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }[/tex]
[tex] \dfrac{39}{52} [/tex][tex] \dfrac{3}{4} [/tex]B. A face card or an ace
total face cards = 4 × 3 = 12total ace cards = 4favorable outcomes = 12 + 4 = 16
The probability of getting a face card or an ace :
[tex]\mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }[/tex]
[tex] \dfrac{16}{52} [/tex][tex] \dfrac{4}{13} [/tex]C. A diamond and a 9
We know there's only one diamond which is 9
So, favourable outcome = 1
Now, probability of getting a diamond and a 9 :
[tex]\mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }[/tex]
[tex] \dfrac{1}{52}[/tex]_____________________________
2.) Two pair of dice is rolled. Determine the probability :
The outcomes are :
[tex](1 , 1) (1 , 2) (1 , 3) (1 , 4) (1 , 5) (1 ,6)[/tex]
[tex](2 , 1) (2 , 2) (2 , 3) (2 , 4) (2 , 5) (2 , 6)[/tex]
[tex](3 , 1) (3 , 2) (3 , 3) (3 , 4) (3 , 5) (3 , 6) [/tex]
[tex](4 , 1) (4 , 2) (4 , 3) (4 , 4) (4 , 5) (4 , 6) [/tex]
[tex](5 , 1) (5 , 2) (5 , 3) (5 , 4) (5 , 5) (5 , 6) [/tex]
[tex](6 , 1) (6 , 2) (6 , 3) (6 , 4) (6 , 5) (6 , 6)[/tex]
Total number of outcomes = 6² = 36 outcomes
Find :
A. P (sum is 4 or 11 )
Total number of outcomes having sum of 4 is :
3Total number of outcomes having sum of 11 is :
2So, favorable outcome = 2 + 3 = 5
Probablity ( sum is 4 or 11 ) :
[tex]\mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }[/tex]
[tex] \dfrac{5}{36} [/tex]B. P(sum is less than 5 or sum is greater than 8)
Total number of outcomes having sum less than 5 is :
6Total number of outcomes having sum greater than 8 is :
10So, favorable outcomes = 10 + 6 = 16
Probablity of (sum is less than 5 or sum is greater than 8) is :
[tex]\mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }[/tex]
[tex] \dfrac{16}{36} [/tex][tex] \dfrac{4}{9} [/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Related Questions
Question 19 (1 point)
What is the length of the segment AB. given point A is located at A(-8, 1) and point
B is located at (4, 6)?
a) 17 units
b) 13 units
c) 169 units
d) 2V13 units
Answers
A dealer purchased 250 bulbs for Rs10 each. However, 12 bulbs got fused which he had to throw away. He sold the remaining bulbs at Rs 12 each. Find the gain or loss per cent in the dealing.
Answers
Answer:
CP of 1bulb =Rs10
CP of 250bulbs=Rs2500
Number of defective bulbs 12
remaining bulbs =250−12=238
SP of 1bulb =Rs12
SP of 238bulbs=Rs2856
profit=Total SP-CP=2856−2500=Rs356
profit%=[
CP
loss
×100]=
2500
356
×100=14.24%
Step-by-step explanation:
hii! please help i’ll give brainliest
Answers
Answer:
C should be correct and super sorry if its wrong
Step-by-step explanation:
55 POINTS
In a group of 23 students, 2 study both Art and Biology.
2 study Biology but not Art.
4 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answers
Answer: there are 2 student art and 19 student study Biology
Step-by-step explanation:
Because 4 is already study neither subject.
At a point on the ground 50 feet from the foot of a tree, the angle of
elevation to the top of the tree is 53 degrees. Find the height of the tree.
Round to the nearest hundredths.
Answers
Answer:
66.35 feet
Step-by-step explanation:
We solve the above question using the Trigonometric function of Tangent
= tan θ = Opposite/Adjacent
θ = 53°
Opposite = Height of the tree = h
Adjacent = Point of the ground from the foot of the tree = 50 ft
Hence,
tan 53 = h/50ft
Cross Multiply
h = tan 53 × 50ft
h = 66.352241081 ft
Approximately to the nearest hundredth, the height of the tree = 66.35 feet
use substitution method to solve the simultaneous equation
4x+3y=18
5x=11+2y
Answers
Solve step-by-step:
Solve for the first variable (any variable) in one of the equations, then substitute the result into the other equation
Select the statement that does not correctly use probability to describe an
event
A. The probability of having a field trip next week is
B. The probability of winning the race is 120%.
C. The probability of having pizza for lunch is 0.50,
O D. If today is Tuesday, the probability that tomorrow is Wednesday is
1
Answers
Answer:
B
Step-by-step explanation:
took the test
ASNWER ALL FOUR YES AND NO ANSWERS FOR 25 POINTS
Answers
Answer:
Yes
No
No
Yes
Step-by-step explanation:
Cosine of theta is adjacent over hypotenuse.
Sine of theta is opposite over hypotenuse.
Manny walked around a basketball court. The court is 27 m long and 17 m wide. What is the perimeter of the court? a. What is asked?
Answers
Answer: 88 m
Step-by-step explanation:
A basketball court takes the shape of a rectangle and the perimeter of a rectangle is calculated by the formula:
= Length + Length + Width + Width
Slotting the figures in will give:
= 27 + 27 + 17 + 17
= 88 m
the question is in the picture. I need help fast if possible. Thank you
Answers
Answer:
145
Step-by-step explanation:
Supplementary angles add up to equal 180 degrees
Thus, ∠ABC + ∠DEF = 180°
If ∠ABC = 35
Then 35 + ∠DEF = 180
180 - 35 = 145
Hence, ∠DEF = 145
Isabella drove for 3.5 hours. Based on the graph, how many miles did she drive?
A. 150
B. 175
C. 200
D. 225
Answers
Answer:
b. 175 miles
Step-by-step explanation:
you just have to check where the line is to the 3.5 hour mark
plz help ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answers
Answer:
B. $5039.58
Step-by-step explanation:
compound interest formula: amount = p(1 + \frac{r}{n})^{nt}
p= principal ($2,300)
r= interest rate as a decimal (4% = 0.04)
n= number of times the principal is compounded per year (annually = onceper year so 1 time per year)
t= time in years (20 years)
new equation: amount = 2300(1+\frac{0.04}{1} )^{1*20}
That equation equals $2,739.58 which you add to the principal.
$2,739.58 + $2,300 = $5039.58
hope this helps :)
find sin(a) in the triangle
Answers
Answer:
the answer is [tex]\frac{20}{29}[/tex]
Step-by-step explanation:
State whether the following number is divisible by 2,5, or 10. 215
Answers
Answer
215 can only be divided by 5
The table below shows how the length of Alex's
lizard changes over time.
Age
(years)
Length
(centimeters)
1
1
5.0
2.
7.4
3
9.8
4
12.2
5
14.6
What is the slope of the table?
Answers
Answer: The domain is all possible inputs and the inputs in this are {1, 2, 3, 4, 5}
Step-by-step explanation:
Inputs(Domain) 1, 2, 3, 4, 5 Outpust (Range) 5.0, 7.4, 9.8, 12.2, 14.6
2x - 3y = 8
-2x + 6y = -20
x = ?
y = ?
solve the system of equations
Answers
Answer:
x = 4 + 3/2y
y = -8/3 + 2/3x
1. Finding X
2x-3y=8
2x=8+3y
x+4+3/2y
2. Finding Y
2x-3y=8
-3y=8-2x
y=-8/3+2/3x
What is the area for the parallelogram
a. 4664.49 squared cm
b. 4272 squared cm
c. 4000 squared cm
d. 3690 squared cm
Answers
=========================================
Work Shown:
area = base*height
area = c*h
area = 89*48
area = 4272 square cm
Side notes:
The base and height are always perpendicular to one another.The value of a = 52.41 isn't used at all.SOLVE FOR X PLEASEEE HELP
Answers
Answer:
2.2857
Step-by-step explanation:
To solve this I'm going to find Angle A
I have the adjacent and opposite side so using TOA is easiest
let a= angle
tan(a)=4/7
a=29.74488
Now that we have the angle A we can only look at triangle ABC
To solve for x we use TOA again
tan(29.74488)=x/4
4tan(29.74488)=x
x=2.2857
Answer:
2.28
Step-by-step explanation:
∆ABC~∆ADE
So, x/4=4/7
7x=16
x=16/7
x=2.28
Will tosses a six-sided die twice.
Determine the probability that Will rolls two of the same number or two prime numbers?
(Remember not to count an outcome twice.)
A. 10/36
B. 12/36
C. 1/36
D. 6/36
Answers
I look at it as pairs
1/6
2/12
3/18
4/24
5/30
6/36
Write the equation of the circle graphed below.
Marking brainliest if correct
Answers
Answer:
This is the equation that you have to write open this picture I send you the equation
This is the Answer for your question :3
I hope you are having a great day ❤️❤️❤️❤️
The hour hand on a clock moves 30° each hour. Which fraction of a circle does the hour hand move in 4 hours?
Answers
Answer:
1/3
Step-by-step explanation:
If the hour hand moves 30° each hour and there are 12 hours on the clock, the total degree it would move in 12 hours = 12 x 36 = 360 degrees
degrees moved in 4 hours = 4 x 30 = 120
fraction = 120 / 360
to express in its simplest form, divide both numerator and the denominator by 120
= 1/3
Simplify this expression.
6^7 ÷ 6^5
A.
30
B.
35
C.
36
D.
42
Answers
Answer:
C
Step-by-step explanation:
If you would recall one of the laws of exponents, when dividing powers of the same base you subtract their exponents. So for this expression:
6⁷ ÷ 6⁵ = 6^(7-5) = 6² =36
work:
6^7= 279,936
6^5= 7,776
so 279,936 / 7,776 = 36
These figures are congruent. What is QR?
If you put a link I WILL be reporting you!
Answers
I believe this is correct, if not lmk!
HELLPPPP ITS ARGENT PLZ
the 7 grade leadership class is planning a movie night for all 7 grade students. they are going to do a small survey to help them choose a movie. they will ask 25 people what movie they would like to see. which group f students will most accurately represent the target population
A; the 25 students in the 7 grade leadership class
B; 25 students selected at random at the girls basketball game
C; the first 25 students to fill out the surveys let in the lunch room
D; 5 studentes select at random from each of the five 7 grade English classes
Answers
y= [tex]\frac{x}{5} \\[/tex] + 3p
Answers
Answer:
y=3p
Step-by-step explanation:
Have a great day!
The vertices of triangle ABC are A (2,2) B(4,2) C(4,3). Please help me answer 1 and 2!
NO SCAMS OR LINKS! THANKS FOR THE HELP!
Answers
Answer:
1. C.
2. D.
Step-by-step explanation:
1. All coordinates are doubled
2. All coordinates are halved.
While sorting some buttons, David put 4 buttons in the first box, 12 buttons in the second box, 36 buttons in the third box, 108 buttons in the fourth box, and 324 buttons in the fifth box. If this pattern continues, how many buttons will David put in the sixth box
Answers
Answer:
972
Step-by-step explanation:
just multiply 3 for every box lol
13 is what percent of 20
Answers
13% of 20 is 2.6
13 is 65 percent of 20
How to determine the percentIt is important to note that percentage is the ratio of a number and the number zero.
From the information given, we have that;
13 is what percent of 20
This is represented as;
13/20 × 100
Multiply the values, we get;
13/ 1 × 5/1
Multiply the values, we have;
65%
Learn more about percentage at: https://brainly.com/question/24877689
#SPJ6
I have absolutely no idea what I am doing so yeah pls help me lol.
Answers
Answer:
The answer is D
Step-by-step explanation: Trust me! hope this helps:)
Answer:
Option D
Dilation with scale factor 2, multiply by 2.
(x, y) → (2x,2y)
Step-by-step explanation:
J(2,4) → J'(4,8)
K(1,1) → K'(2,2)
L(4,0) → L'(8,0)
Dilate with a scale factor of 2
Each set of JKL points multiplied by 2 to form J'K'L'
J(2*2, 2*4)
K(2*1, 2*1)
L(2*4, 2*0)
Fiona drew a regular polygon that first maps directly onto itself after rotating 15 degrees. How many sides does the polygon have? 12 15 24 48
Answers
Answer:
24
Step-by-step explanation:
Let n = number of sides
15n = 360
divide both sides of the equation by 15
n = 24
Answer:
24
Step-by-step explanation:
Let n = number of sides
15n = 360
divide both sides of the equation by 15
n = 24