Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?
Answers
P(A|B) = 1/3
What is Venn diagram?
"A Venn diagram in mathematics is a diagram that uses overlapping circles or other shapes to represent the logical relationships between two or more sets of items. "
What is probability?"For any experiment, a probability denotes the possibility of outcome for any event."
The formula to calculate the probability of an event:For event A, the probability of event A is,
P(A) = number of favorable outcomes/ total umber of outcomes
What is conditional probability?"Conditional probability is the probability of an event occurring given that another event has already occurred."
The formula to calculate the conditional probability:P(A|B) = P(A∩B)÷P(B)
For given diagram:
Let A represents a set of students playing Basketball and B represents a set of students playing Soccer
So, A = {Fran, Ian, Juan, Ella}
⇒ n(A) = 4
B = {Mickey, Marcus, Ella}
⇒ n(B) = 3
(A ∩ B) = {Ella}
⇒ n(A ∩ B) = 1
sample space: S = {Fran, Ian, Juan, Ella, Mickey, Marcus, Mai, Karl, Jada, Gabby}
⇒ n(S) = 10
Now, we calculate probability of B and A∩B.
P(B) = n(B)/n(S)
⇒ P(B) = 3/10
Also, P(A∩B) = n(A∩B) / n(S)
⇒ P(A∩B) = 1/10
So, the required probability would be,
⇒ P(A|B) = P(A∩B) ÷ P(B)
⇒ P(A|B) = (1/10) ÷ (3/10)
⇒ P(A|B) = 1/3
Therefore, P(A|B) = 1/3
Learn more about probability here:
https://brainly.com/question/12478394
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Related Questions
In general, % of the values in a data set lie at or below the 16th percentile. % of the values in a data set lie at or above the 24th percentile.. If a sample consists of 800 test scores, of them would be at or below the 86th percentile. If a sample consists of 800 test scores, of them would be at or above the 14th percentile.
Answers
Complete Question
In general,_______ % of the values in a data set lie at or below the 16th percentile.
_________ % of the values in a data set lie at or above the 24th percentile.
If a sample consists of 800 test scores, _______ of them would be at or below the 86th percentile. If a sample consists of 800 test scores,_______ of them would be at or above the 14th percentile.
Answer:
In general, 16 % of the values in a data set lie at or below the 16th percentile.
24 % of the values in a data set lie at or above the 24th percentile.
If a sample consists of 800 test scores, 688 of them would be at or below the 86th percentile. If a sample consists of 800 test scores, 688 of them would be at or above the 14th percentile.
Step-by-step explanation:
Generally percentile defines the percentage of a data set that is below or at a value that is being considered.
Hence the percentage of the values of a data set that lies below or at the 16th percentile is 16%
Also the values of a data set that lies below or at the 24th percentile is 24%
Given a sample of 800 test scores , the number number of test scores that will be at or below the 86th percentile is 86% of 800 which is mathematically represented as
[tex]k = \frac{86}{100} * 800[/tex]
[tex]k = 6 88[/tex] test scores
Given a sample of 800 test scores , the number number of test scores that will be above the 14th percentile is (100 - 14 = 86 )% of 800 which is mathematically represented as
[tex]a = \frac{86}{100} * 800[/tex]
[tex]a = 6 88[/tex] test scores
The base of the triangular flag was 4ft and the height was 3 feet. What is the area of Karmas flag
Answers
Answer:
6 [tex]ft.^{2}[/tex]
Step-by-step explanation:
Use the triangle area equation
[tex]A=\frac{b*h}{2}[/tex]
plug in the base (4ft) times the height (3ft) then divide by two
Roxanne is measuring the diameter and the radius of different-sized circles.
There is a proportional relationship between the radius of the circle in inches, x, and the diameter of the circle in inches, y.
x (radius in inches) y (diameter in inches)
1 2
2 4
9 18
10 20
What is the constant of proportionality? Write your answer as a whole number or decimal.
inches in diameter per inch in radius
Answers
Answer:
2
Step-by-step explanation
HELP!!! I HAVE 2 MINUTES!!!!
What is the solution set for (x+1)^2−13=36?
A.{–6, 6}
B.{–8, 6}
C.{–6, 8}
D.{–7, 5}
Answers
Is the side length √ 23+3 rational or irrational? Explain your reasoning.
100 points but If you answer something random I will report.
Answers
Answer:
Irrational
Step-by-step explanation:
[tex] \sqrt{23 + 3 } = \sqrt{26} [/tex]
An irrational number is a number that cannot be written as a fraction. Therefore √26 is an irrational number.
Irrational
Step-by-step explanation:
An irrational number is a number that cannot be written as a fraction. Which means that √23 is an irrational number.
Lionel Messi, who is running 20 feet per second is 15 feet behind Cristiano Ronaldo who is running at 17 feet per second. How long will it take Messi to catch up with Ronaldo?
Answers
Answer:
15 feet
Step-by-step explanation:
Answer:
15 feet
Step-by-step explanation:
I need help please, can you help me?
Answers
Answer:
x= 16 degrees
Step-by-step explanation:
the angles can be a little hard to remember but just know that the angles that are outside of the transversal are exterior angles and if they are on the opposite sides of the line that passes through the parallel lines then they're alternate exterior angles and those angles that are inside are interior angles and if they are on the opposite sides of the line passing through the parallel then they are alternate interior angles .
Hi please answer??????
Answers
Answer:
All rational numbers are real,
Answer:
False
Step-by-step explanation:
This is because all non terminating numbers are not rational because they a non terminating number may non repeating which means it may not be able to go in p/q form, hence, NOT ALL NON TERMINATING NUMBERS ARE RATIOANL, BUT FEW ARE.
If my answer helped, kindly mark me as the brainliest !!
Thanks!!
Jace is moving and must rent a truck. There is an initial charge for the rental plus a
fee per mile driven. Let C represent the total cost of renting the truck when the truck
is driven m miles. The table below has select values showing the linear relationship
between m and C. Determine the initial fee to rent the truck.
Answers
Answer:
$30
Step-by-step explanation:
Answer: 45
Step-by-step explanation:
To find how much money Jace would be charged if he drove 5 miles with the rented truck, we must plug in
5
5 for
m
m
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%
Answers
Answer:
20%
Step-by-step explanation:
2-1.6=0.4
0.4/2x 100
40/200=1/5 or 20%
You Start At (4,-2) You Move Left 1 Unit And Up 1 Unit. Where Do You End?
Answers
Answer:
(3,-1)
Step-by-step explanation:
this is because you have to use the equation [tex]y=-1x+2[/tex] which will bring you from (4,-2) to (3,-1)
Point P' is the image of P(-2,4) under a translation by 2 units to the left and 5 units down.
Answers
Answer:
(-4,-1)
X value: -2 - 2 = -4.
Y value: 4 - 5 = -1
During a charity drive, the senior class raised $85 more than twice the amount raised by the freshman class. The senior class raised $555. How much did the freshman class raise?
Answers
Answer:
235$
Step-by-step explanation:
85+2x=555
-85 -85
2x=470
2x/2x 460/2x
235
so the freshman class raised 235$
What is the value of the expression
?
(2-4)2
Answers
Answer:
-4
Step-by-step explanation:
2 - 4 = -2
-2 multiplied by 2 is -4
Hope I helped :)
Please consider Brainliest :)
If I have a Positive and a positive, what will the answer be?
Answers
Answer and Step-by-step explanation:
If you were to add two positives together, the result will be positive.
If you were to multiply two positives together, the result is positive.
If you were to divide two positives together, the result is positive.
If you were to subtract two positives together, then it depends;
If the smaller positive number was being subtracted by the bigger positive number, then the result is negative.
If the bigger positive number is being subtracted by the smaller positive number, then the result is positive.
#teamtrees #PAW (Plant And Water)
Please Help!!!
Thanks!!!!!!
Answers
Answer:
I will say A because is the one that makes more sense and is actually the one that is discrimination the equation
what 8 divieded by -7
Answers
Answer:
-1.14285714286
Step-by-step explanation:
brainlist plz thx
If you divided 8÷-7 the result will be -1.14285714286 is negative because when you divide a positive number with a negative alway is going to be a negative.
And if you simplify it gives you
-1.143.I think thats it. sorry if im wrong.
Help please I’m so confused I’ll mark you brainless
Answers
Answer:
no they are not equivalent
Step-by-step explanation:
n (4n^2-1)
4n^3-n
basically you need to multiply 2n+1 and 2n-1 to get (4n^2-1) and then multiply n. in the ends. they arent equivalent
how many times larger is the mass of an average grain of rock song than the mass of an average grain of table salt
Answers
Answer:
40
Step-by-step explanation:
The sample answer for edmentum is: The first factor of the mass of an average grain of rock salt is 40 times the first factor of the mass of an average grain of table salt. So, the mass of an average grain of rock salt is 40 times greater than the mass of an average grain of table salt.
The mass of an average grain of rock sand is 43.4 times larger than the mass of an average grain of table salt
What is scale factor?Scale factor is used to compare the size of two objects. Mathematically, we can write -
{K} = S{O1}/S{O2}
13 mg
Given is to compare the mass of an average grain of rock sand than the mass of an average grain of table salt.
The mass of an average grain of rock sand is : 13 mg
The mass of an average grain of table salt is : 0.3 mg
So, we can write that -
{K} = M{rock sand}/M{table salt}
{K} = 13/0.3
{K} = 130/3
{K} = 43.4
So, it can be concluded that the mass of an average grain of rock sand is 43.4 times larger than the mass of an average grain of table salt.
Therefore, the mass of an average grain of rock sand is 43.4 times larger than the mass of an average grain of table salt.
To solve more questions on size comparison, visit the link-
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. What are the slope and y-intercept of the line y = -6
Answers
Answer: Slope= undefined because it's just a straight line across and the Y intercept is -6 because thats where Y is at when X is 0
Can y’all please help me
Answers
Answer:
noi cant
Step-by-step explanation:
im too dumb for this
How is the expression 4^-2 written using a positive exponent
Answers
9514 1404 393
Answer:
1/4^2
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
__
Then ...
4^-2 = 1/4^2
try to steal points and i ll report you and get you banned
but if you tried your ok
Answers
Answer:
x =8x = 11x = 12x = -3x = -9Step-by-step explanation:
just go in order like I put them and they are all right
start form -5x+6(4x+15)=242 which would be number 1 x = 8
Okay hope this helps oh could you mark this Brainliest please
Question 11
The area of a square is 108 ft. Which of the following represents the length of one side?
А
27 feet
B
54 feet
с
63feet
ОО
D
363feet
Answers
Mark brainliest?? I hoped this helped, btw! :D
how to do this question plz
Answers
Answer:
Period
YEAR 1 ....... Depreciation=470.72..... Balance= 4236.48
YEAR 2 ...... Depreciation=423.63..... Balance=3812.83
the value would be 3812.83!!!!!
Step-by-step explanation:
hope this helps
Find the solutions for F(x)=2x² + 4x + 2
X
f(x)
-3
-2
-1
0
1
2
3
4
Answers
Answer:
x= -1
Step-by-step explanation:
Please help omg please:( just please I don’t wanna fail
Answers
Answer:
use the app called socratic
Step-by-step explanation:
X-3=19
solve for the variable X
please show your work
thx :)
Answers
3,6,9,12,15,18
And they don’t have a 19
Answer:
22
Step-by-step explanation:
x-3=19
+3 +3
=22 so there for x=22
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
1) Slope = 6, y-intercept = 5
2) Slope = -1/3, y-intercept = 1
Answers
Answer:
1.) y= 6x+5
2.) y= -1/3x+1
Step-by-step explanation:
Slope Intercept Form is y=mx+b,
where slope is m
the y-intercept is b
So I just plugged in the slope and y-int to get the equation
12. ¿Que numero sumado por 40 da 0? 40 +
= 0 *
Answers
Answer:
12. What number added by 40 gives 0? 40+
= 0 *
Step-by-step explanation:
I'm confused by what you mean lol is this what you wanted?
HOPE THIS HELPS!!
40+-40=0 porque si tienes 40 y le restas 40 te da 0
