Example of dependent events and independent events and their probabilities are as given below.
How to provide two independent events with known probability?1. a. Two independent events that I know the probability of are:
Rolling a fair die and getting a 4 (probability of 1/6)
Flipping a fair coin and getting heads (probability of 1/2)
b. I know these events are independent because the outcome of one event does not affect the outcome of the other event. The outcome of rolling a die does not affect the outcome of flipping a coin, and vice versa.
c. The probability of both events occurring is (1/6) × (1/2) = 1/12
2a. Two dependent events:
i. Drawing a red card from a deck of cards and then drawing another card (without replacement)
ii. Drawing a red ace and then drawing another red card (without replacement)
b. I know these events are dependent because the outcome of the first event affects the outcome of the second event. The probability of the second event depends on the outcome of the first event.
c. These dependent events might require a different method for calculating the probability of both events occurring, such as conditional probability.
The probability of both events occurring would be P(A and B) = P(A) × P(B|A)
where P(A) is the probability of the first event and P(B|A) is the probability of the second event given that the first event has occurred.
Learn more about independent and dependent events on:
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Divide 12x^3+15x by 3
Answer:
Try 5x + 36xn
Step-by-step explanation:
Find the value of x in the triangle shown below.
5
12
Choose 1 answer:
x = 60
= V119
= 13
= 17
What Reasoning could you use to prove the two triangles shown below are congruent?
AAS
SAS
ASA
SSS
I KNOW ITS SAS....................
you need to use SAS
Step-by-step explanation:
so first you write PQ=QR
PQS=SQR
PS=SR
Solve log x = 4!!! Please
hello hello I need help asap
Answer:
im not smart
Step-by-step explanation:
Solve this system using the substitution method: 2a-4b=9; 2b-4a=-3
Answer:
1 ) 1,4.5 2)1,-5/4
Step-by-step explanation:
we have to solve both by :
let a be (1) in first case
now solve like this 2(1)-4b=9
A store sells hardcover books for $8 and paperback books for $5. You buy 9 books, represented by the equation x+y=9, where x is the number of hardcover books and y is the number of paperback books. The equation 8x+5y=51 represents the total cost. How many of each type of book did you buy?
Answer:
Step-by-step explanation:
x+y = 9
y = 9-x
8x + 5y = 51
8x + 5(9-x) = 51
8x + 45 - 5x = 51
3x = 6
x = 2
y = 9-x = 7
Two hardcover books and seven paperback books.
help 8th grade adv math
Answer:
6, -6
Step-by-step explanation:
The 2nd roots of 36 are 6 and -6 since
6^2 = 36
and
(-6)^2 = 36
Which statement below is represented by the correct ratio? Choose all that apply.
"For every 4 boys in Mr. Washington's class, there are 3 girls." The ratio of boys to girls is 3:4.
"For every 10 minutes of reading, I can finish 15 pages of my book." The ratio of minutes reading to finished pages is 2.3.
"For every 50 shoppers at the grocery store, 25 watermelons are sold." The ratio of shoppers to watermelons sold is 1:2.
For every 7 tomato plants planted, 36 tomatoes will grow. The ratio of plants to tomatoes is 7:36.
Answer:
Step-by-step explanation:
Its basic all you do is multiply 4 x 3 and you get 12 ywwww!!!!!!!!!
Please help with this math question
1. Find the total surface area of the net below
Answer:
dfdg
Step-by-step explanation:
fd
Select the statement that correctly describes the solution to this system of equations.
X+3y=5
Y=4x-7
A. There is no solution
B. There are infinitely many solutions.
C. There is exactly one solution at (2,1).
D. There is exactly one solution at (4,2).
Which 1?
Answer:
C
Step-by-step explanation:
if you substitute in for x and y it works
Find the vertex of this quadratic
A bag contains 5 apples and 3 oranges. If you select 2 pieces of fruit without looking, how many ways can you get 2 apples?
Answer:
you can feel a stem
Step-by-step explanation:
im sorry i dont know
Suppose a university is divided into three campuses: the Main campus, the Downtown campus, and the Bay Area campus. The Main campus has 60% of the university's students, the Downtown campus has 25%, and the Bay Area has the rest. At the Main campus, 12% of the students are statistics majors. At the Downtown campus, 4% of the students are statistics majors. Finally, at the Bay Area campus, 1% of the students are statistics majors.
Required:
a. What proportion of students at the university are statistics majors?
b. Of all statistics majors at the university, what proportion are at the Main campus?
Answer:
a) 0.0835 = 8.35% of students at the university are statistics majors
b) 0.8623 = 86.23% are at the Main campus
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
This is used for item b.
a. What proportion of students at the university are statistics majors?
12% of 60%(At the main campus).
4% of 25%(Downtown campus).
The rest is 100 - 60 + 25) = 15%.
1% of 15%(Bay Area Campus). Si
[tex]p = 0.12*0.6 + 0.04*0.25 + 0.01*0.15 = 0.0835[/tex]
0.0835 = 8.35% of students at the university are statistics majors.
b. Of all statistics majors at the university, what proportion are at the Main campus?
Using conditional probability to find the percentage.
Event A: Statistics majors, so [tex]P(A) = 0.0835[/tex]
Event B: Main Campus
Intersection of A and B:
12% of 60%. So
[tex]P(A \cap B) = 0.12*0.6 = 0.072[/tex]
Percentage:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.072}{0.0835} = 0.8623[/tex]
0.8623 = 86.23% are at the Main campus
What is a in the parallelogram
Ten more than four times a number is equal to the difference between 73 and three times the number. Find the number.
Answer:
let x be the number then,
according to question ,
10+4x=73-3x
or, 4x+3x=73-10
or, 7x= 63
or, x= 63÷7
or,x=9 ans
hence , the number is 9
Mr. king used 16 gallons of gas in 6 days. Circle any of the following that describes the average amount of gas Mr. King used per day? (Sorry forgot options, also my math teacher gave me a hint about 3 answers)
This year, the cost of an amusement park pass is twenty percent more than last year. This year's cost is described by an expression where p is last year's cost.
p + 0.20p
Which of these expressions is another way to describe this year's cost? whats the answer
Answer:
Step-by-step explanation:
Your answer
You have already write down a expression which is p + 0.2p
So another expression can be : 1.2p
Mark it as Brainlist answer. Follow me.
Answer:
1.20p
Step-by-step explanation:
I did it, and I got it right on my test.
Hope this helps :)
The scale of a map is 1 cm : 21 km. Find the actual distance corresponding to the map distance.
The distance on the map is 2.5 cm.
Answer:
52.5
Step-by-step explanation:
2.5 x 21 = 52.5
dinner out at nice restaurant cost $45 plus a 20% tip what was the total cost of dinner
Answer:
$54 because the tip would be $9 so just add 45 and 9
Answer:
$54
Step-by-step explanation:
Since we are adding a 20% tip to the original cost of 45, the equation is
45+(0.2)(45),
since we want to add 20% of 45 to the original 45.
Solving that gives us 54.
Find the domain of y = log(2 - 4x).
Answer:
x<1/2
Step-by-step explanation:
find the 8th term of the geometric sequence 3,9,27
Answer:
6,561
Step-by-step explanation:
multiply 3 by the last number, like 3*3 is 9 then 9*3 is 27*3 is 81 then 81*3 243 and so until it reaches 8 time
True and false
Urgent!!! Please help man!
Answer:
True
Step-by-step explanation:
Because I did this.
The product of the areas of two rectangular rugs is 140. If each of the dimensions is a prime number, what are the four dimensions?
A. 2,4,5,7
B. 2,2,5,7
C. 2,2,5,5
D. 2,5,7,7
Answer:
The correct answer is B. 2,2,5,7
Step-by-step explanation:
To answer this just multiply them in the order you see them in so 2*2=4 4*5=20 *7=140
The total points scored in the games of an NBA playoff series: 195 177 215 200 189 232 201 199 192 201
Step-by-step explanation:
something is missing. maybe mean, median
Estimate the sum using rounding numbers 67.07+4.86
Answer:
I estimated the answer would be 72 (actual answer: 71.93)
Step-by-step explanation:
67.07 rounded to the nearest whole number is 67
4.86 rounded to the nearest whole number is 5
67 + 5 = 72
hope this helped!
whose
The boy ..... dog was hit by a car has not been to school for 3 days,
Step-by-step explanation:
huh what you are trying to say
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y=-26x
Step-by-step explanation:
help me solve this please
Answer:
the answer is 0.7692
Step-by-step explanation: