1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
julsineya [31]
3 years ago
6

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditio

ns must be true?
a. P(B|A) = y
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y

e. P(A and B) = x/y

P(A)
Mathematics
2 answers:
zzz [600]3 years ago
5 0

If two events are independent, then

Pr(A\cap B)=Pr(A)\cdot Pr(B).

Use formulas for conditional probabilities:

Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)},\\ \\ Pr(B|A)=\dfrac{Pr(A\cap B)}{Pr(A)}.

For independent events these formulas will be:

Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)}=\dfrac{Pr(A)\cdot Pr(B)}{Pr(B)}=Pr(A),\\ \\ Pr(B|A)=\dfrac{Pr(A\cap B)}{Pr(A)}=\dfrac{Pr(A)\cdot Pr(B)}{Pr(A)}=Pr(B).

Now in your case Pr(A)=x,\ Pr(B)=y and Pr(A|B)=x,\ Pr(B|A)=y, Pr(A\cap B)=x\cdot y.

This shows that the only correct choice is A.

Novay_Z [31]3 years ago
5 0
The right answer for the question that is being asked and shown above is that: "d. P(A and B) = x + y." The probability of event A is x, and the probability of event B is y. If the two events are independent, the condition must be true is this d. P(A and B) = x + y

You might be interested in
Marking brainliest!<br> In your own words, why does erosion mean?
photoshop1234 [79]

Answer:

the process of being eroded by natural agents such as wind, water, ice, etc.

this process moves sediment or material from one place to another

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
System by substitution.<br> Tar 7x - 3y=8<br> y=3x
valentina_108 [34]

Answer:

3k

Step-by-step explanation:

jr9rrirjrhr 4irjrirbrurbir rir rir rir her ror ror ir mirror tir tir the ever tir threw tr her rir her r ror rd jenn lwor rope rope mtn 4 ven kr rke the rurr

8 0
3 years ago
Write a proof to show that opposite angles of a parallelogram are congruent. Be sure to create and name the appropriate geometri
RUDIKE [14]
Parallelograms, have 2 pairs of parallel lines. The diagnosis are congruent, so one diagnosis makes 2 congruent triangles. Use the WSS triangle theorem. We have congruent angles.
6 0
3 years ago
Solve for x by first setting up two equations. Then find the PRODUCT of your solutions |2x+5|=7
Kobotan [32]

Answer: see below

Step-by-step explanation:

|2x+5|=7

2x+5=±7 ⇔ since the absolutely value of any number is all positive, so the value in side can be either positive or negative

2x+5=7  or  2x+5=-7

    2x=2            2x=-12

      x=1      or       x=-6

----------------------------------------

The product of the two solutions

1 × -6=-6

Hope this helps!! :)

Please let me know if you have any question

5 0
3 years ago
-286 divided by 457.6 what is the quotient?
kompoz [17]
The quotient is -0.625
3 0
3 years ago
Other questions:
  • Can someone help me with this please
    8·1 answer
  • MATH PEOPLE 25 POINTS TO ANSWER THIS HELP MEEEEEEE
    7·1 answer
  • 5 weeks to 40 Days ratio as a fraction in simplest form
    14·2 answers
  • 48oz sprite for $1.39 or 32 oz dr. pepper for $0.89?
    13·1 answer
  • An air traffic controller spots two planes at the same altitude flying toward each other. their flight paths form a right angle
    5·1 answer
  • Two trains left the station at the same time, one heading due east at 40 miles per hour and the other heading due west at 50 mil
    13·1 answer
  • Whats a perfect square trinomial
    8·2 answers
  • Find the 60th term of the sequence below. 3, 7, 11, 15...​
    5·1 answer
  • Is 16 tons greater then less then or equal to 32000 ib​
    10·1 answer
  • Can someone help me with this? Thank you so much! I mark as brainliest :)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!