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
Afina-wow [57]
3 years ago
11

According to the general equation for conditional probability, if P(A n B) = 3/4 and P(B) = 4/5 what is P ( A|B)?

Mathematics
1 answer:
leonid [27]3 years ago
8 0

Given:

P(A\cap B)=\dfrac{3}{4}

P(B)=\dfrac{4}{5}

To find:

The P(A|B).

Solution:

Conditional probability:

P(A|B)=\dfrac{P(A\cap B)}{P(B)}

Substituting the given values, we get

P(A|B)=\dfrac{\dfrac{3}{4}}{\dfrac{4}{5}}

P(A|B)=\dfrac{3}{4}\times \dfrac{5}{4}

P(A|B)=\dfrac{16}{16}

Therefore, the correct option is B.

You might be interested in
A tank initially contains 20 gallons of water. If water is flowing into the tank at a rate of 0.1 L/sec what is the volume of wa
IRISSAK [1]

The total volume of water in the tank after 3 mins 24.75 gallons.

<h3>New volume of water in the tank</h3>

The new volume of water that entered into the tank is calculated as follows;

V₁ = 0.1 L/sec x (3 x 60 s)

V₁ = 18 L

<h3>Volume of water in liters to gallon</h3>

1 liter = 0.264 gallons

18 Liter = ?

= 18 x 0.264

= 4.75 gallons

<h3>Total volume of water in the tank after 3 mins</h3>

V = 20 gallons + 4.75 gallons

V = 24.75 gallons

Learn more about flow rate here: brainly.com/question/21630019

4 0
2 years ago
What is the simplest form of 2v3 V6 ?<br> v2<br> v3
Doss [256]

2\sqrt{3}\cdot \sqrt{6}\implies 2\sqrt{3\cdot 6}\implies 2\sqrt{18}\implies 2\sqrt{3^2\cdot 2}\implies 2\cdot 3\sqrt{2}\implies 6\sqrt{2}

3 0
2 years ago
The regular price of a box of granola is 6.36. Today there is a special deal for 3.56 off each box. How much does a box of grano
stiks02 [169]

Answer:

with the special deal each box of granola would cost2.80

Step-by-step explanation:

6 0
2 years ago
Among 6 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the pro
Oksanka [162]

Answer:

66.67% probability that all selected components function properly

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the components are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Desired outcomes:

2 components which function properly, from a set of 5. So

D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10

Total outcomes:

2 components, from a set of 6. So

T = C_{6,2} = \frac{6!}{2!(6-2)!} = 15

Probability:

p = \frac{D}{T} = \frac{10}{15} = 0.6667

66.67% probability that all selected components function properly

3 0
3 years ago
I need help on this question
cestrela7 [59]

Answer:

Step-by-step explanation:

nth term = 3n+2

a) first term = 3+2 = 5

Second term = 3(2)+2 = 8

Third term = 3(3) +2 = 11

b) tenth term = 3(10)+2 = 32

8 0
2 years ago
Other questions:
  • 0.3,0.2,1\3,2\9 put in order from least to greatest
    7·1 answer
  • Gemstones are very expensive minerals. What are these pricey minerals used for?
    15·1 answer
  • Factor.
    8·1 answer
  • Please help I have no idea
    10·2 answers
  • Can someone please help
    5·1 answer
  • What is the product of 2.2 + 0.3d- 4
    13·2 answers
  • Which of the following is a benefit to using a random sample for an observational study?
    13·2 answers
  • Someone please help me on this! ASAP please!! 25p
    14·1 answer
  • How to solve 3x-y=11, x+2y=6 with the method of elimination?​
    5·1 answer
  • Define then compare and contrast diverges and converges.​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!