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
Mashutka [201]
3 years ago
12

PLS HELP ASAP Given the following probabilities, for what P(B) are events A and B independent? P(A)=23 P(A and B)=13

Mathematics
1 answer:
Paul [167]3 years ago
8 0

I'm assuming you meant to say

P(A) = 2/3

P(A and B) = 1/3

If that is the case, then A and B are independent if and only if the following equation is true

P(A and B) = P(A)*P(B)

So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it

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

P(A and B) = P(A)*P(B)

P(A)*P(B) = P(A and B)

(2/3)*P(B) = 1/3

P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3

P(B) = (1*3)/(3*2)

<h3>P(B) = 1/2  is the answer</h3>

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

If P(B) = 1/2, then

P(A and B) = P(A)*P(B)

P(A and B) = (2/3)*(1/2)

P(A and B) = (2*1)/(3*2)

P(A and B) = 1/3

Which is the given probability for both events happening. This confirms we have the correct P(B) value.

You might be interested in
A circle has a circumference of 8 It has an arc of length 32/5
Pepsi [2]

(176/35)^c=288°

answer is 288°.

3 0
3 years ago
What is the coefficient of (-2/3x)(3y)(-2x)
dolphi86 [110]

Answer:

The coefficient is equal to  4

Step-by-step explanation:

we have

(-\frac{2}{3}x)(3y)(-2x)

we know that

The coefficient is equal to

(-\frac{2}{3})(3)(-2)=4

so

(-\frac{2}{3}x)(3y)(-2x)=4x^{2}y

4 0
3 years ago
PLS HELP! Tell whether each of the following is a function or not. How do you know?
Nataly [62]

Answer: It is

Step-by-step explanation:

None of the lines will ever touch each other resulting in a function.

7 0
3 years ago
Read 2 more answers
Teri ran 8 kilometeters. One mile is approximately equal to 1.6 kilometers. Which measurement is closest to the number of miles
nignag [31]
The answer is "A, 5mi"
6 0
3 years ago
The area of a rectangle is 14 square units. It has side lengths xxx and yyy. Given each value for xxx, find yyy.
Korolek [52]

Answer:

does not make sense

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the slope of the line containing the points (3,-2) and (-1,6)​
    11·2 answers
  • What is the GCF of 28a^3 b and 16ab ? <br><br> A)4ab<br> B)4a3b<br> C)28ab<br> D)112a3b2
    8·1 answer
  • 3. company pays a greater annual salary? Show your Company A offers a semimonthly salary of $2432, and Company B offers a biweek
    12·1 answer
  • Find the value of x. Round to the nearest degree.
    14·1 answer
  • What is the area of the trapezoid with height 11 units?
    8·1 answer
  • HECTOR PLANTED 185 FLOWERS IN 2 DAYS THERE WERE 5 VOLUNTEERS INCLUDING HECTOR WHO EACH PLANTED ABOUT THE SAME NUMBER OF FLOWERS
    11·1 answer
  • CEOLATIONS AND INEQUALITIES
    8·1 answer
  • The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What perc
    12·1 answer
  • 1. Many Alpine ski centers base their calculations of revenues and profits on the belief that the average skier ski’s four times
    13·1 answer
  • (04.03) The graph shows the amount of money paid when purchasing bags of candy at the zoo:
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!