Identify the probability statements that would allow us to conclude the events are independent. Check all that apply.
P(A|BC) = P(A)
P(B|A) = P(A|B)
P(B|A) = P(B)
P(A|B) = P(A|BC)
P(A|B) = P(B)
P(A|B) = P(A)



answer is a c d f

The probability statements that would allow us to conclude that the events are independent are P(B|A) = P(B) and P(A|B) = P(A).

To determine if two events are independent, we need to check if the probability of one event is affected by the occurrence of the other event. If the probability of one event remains the same, regardless of whether the other event occurs or not, then the events are independent.

Let's analyze each of the given probability statements and see which ones would allow us to conclude that the events are independent.

P(A|BC) = P(A):

This statement indicates the probability of event A occurring given that both events B and C have occurred.

We cannot conclude independence from this statement, as the occurrence of events B and C may affect the probability of A.

P(B|A) = P(A|B):

This statement indicates the probability of event B occurring given that event A has occurred, is equal to the probability of event A occurring given that event B has occurred.

This is the definition of conditional probability, and it does not provide enough information to determine the independence of the events.

P(B|A) = P(B):

This statement indicates the probability of event B occurring given that event A has occurred is equal to the marginal probability of event B.

This would only be true if the occurrence of event A has no effect on the probability of event B, which would indicate independence.

P(A|B) = P(A|BC):

This statement indicates the probability of event A occurring given that event B has occurred is equal to the probability of event A occurring given that both events B and C have occurred.

This statement does not provide enough information to determine the independence of the events.

P(A|B) = P(B):

This statement indicates the probability of event A occurring given that event B has occurred is equal to the marginal probability of event B.

As previously mentioned, this would only be true if the occurrence of event A has no effect on the probability of event B, which would indicate independence.

P(A|B) = P(A):

This statement indicates the probability of event A occurring given that event B has occurred is equal to the marginal probability of event A.

This would only be true if the occurrence of event B has no effect on the probability of event A, which would indicate independence.

For similar questions on probability

https://brainly.com/question/13604758

#SPJ11

What is the area of an isosceles triangle with side lengths of 22 and 66

‍ ‍ ‍ ‍

‍

‍ ‍ ‍ ‍ ‍

Antonia solves an equation incorrectly. Her work is shown in the table
Original
27 (51x - 1) = -24x + 12
Line 1
-87x +
29
17
-24x +
Line 2
-63x+
29
17
12
17
Line 3
-63x = 1
Line 4
X
1
63
In which line did Antonia make an error based on the previous line?
А
Line 1
B
Line 2
С
Line 3
D
Line 4

The value of an antique car is modeled by the function V\left(t\right)=10700\ \left(1.125\right)^t , where t is the number of years since 2005.

By what percent rate is the value of the car increasing per year?

a
125%
b
12.5%
c
1.125%
d
0.125%

Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.

PLEASE HELP

How much pressure is exerted on a science lab floor if the lab
desk has an area of 1.08 m2 and a force of 12 000 N

11x + x = 60
full answer pls

Please help! The ritio of two houses is 4:3 and the cost of the second hose is ₹4,20,000 . lets find the cost of the first house . If the cost of the first house was ₹70,000 more , then lets find the ratio of their cost .​

please help I have an hour to complete

if p is the smallest of four integers, what is their sum interms of P​

Solve for x . Round to the nearest 100th if needed.
11/ x + 18 = 34

A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
1,360 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of
water in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks.

need help to find X
thank you

Can i get the answers i need them or else i fail

15) Dan is putting a fence around his circular swimming pool. If the pool
has a diameter of 13.5 feet and fencing costs $6 per foot, how much will
he spend?

Solve for a.

6a−15=72

A.12
B.27
C.14 1/2
D.9 1/2

helpppp meeeee pleaseeeeeeeeee

pls help me it is important to me

Hello! I'm gettin' rekt right now, and I need help.
1st Question: How do you find the average of a number on a number line?
2nd Question: How do you find the average of 2 numbers on a number line?

car covers x plus 2 kilometre in 1 litre how much distance it will covers in Y litres​

Divide 600 kg into 2 boxes so that one box has twice as much in it as the other box. How
much is in the heavier box?
Help please

what is the slope of this line? -2x + 3y =-6

A delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year.

Which function best models the linear relationship?

y = 22,000x − 40,000
y = –22,000x + 40,000
y = 22,000x + 40,000
y = 40,000x − 22,000

HELP ME PLEASE! i'll give u brainliest

PLEASE HELP ME WITH THIS I HATE SCHOOL

The sale price of an item is Rs 176. If a discount of 20% is allowed on its Marked price, what is the marked price of the item

Solve the equation.

-5(x+3)=20

A store sold 281 dresses last year. The store makes a profit of $35 for each dress sold.
How much did the store make from selling the dresses?

Which sentence can represent the inequality 3.5 x greater-than-or-equal-to 7?
A The sum of 3.5 and a number is greater than 7.
B The sum of 3.5 and a number is greater than or equal to 7.
C The product of 3.5 and a number is greater than 7.
D The product of 3.5 and a number is greater than or equal to 7.

A number cube is rolled and a marble is selected at random from a bag containing 2 green marbles, 2 yellow marbles, 2 red marbles, 1 purple marble, and 1 blue marble. Find each probability. Show your work. 1. P(1 and red) 2. P(3 and purple) 3. P(even and yellow) 4. P(odd and not green) Give me all the answer thanks.