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2 years ago

What is the difference between independent and conditional probability? Which one requires the use of the Addition Rule?Explain.

Mathematics

2 answers:

PSYCHO15rus [73]2 years ago

7 0

Answer:

In probability, independent events are those that if one event occurs, it does not change the probability of the other event.

Whereas conditional probability is defined as the probability of one event occurring with some relationship to one or more other events.

The addition rule is used for both the independent and conditional probabilities.

For independent event the probability is shown as :

$P(YorZ)=P(Y)+P(Z)$

For conditional: $P(YorZ)=P(Y)+P(Z)-P(YandZ)$

Scorpion4ik [409]2 years ago

6 0

Independent probability means that the test subjects do not affect one another. One's event occurring does not affect the other.

Conditional probability means that an event happening only happened because another even had already occurred.

The addition rule i believe is a Conditional probability

hope this helps

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Triangular numbers can be represented with equilateral triangles formed by dots the first fire triangle numbers are 1 3 6 10 and

zhannawk [14.2K]

Answer:

There's no direct variation

Step-by-step explanation:

Required

Determine if there's a direct variation between the number and its position

I'll start by giving an illustration of how the triangle is represented using stars (*)

***

****

*****

Represent the line number with y and it's position with x

On line 1:

y = 1, x = 1

On line 2:

y = 2, x = 3

On line 3:

y = 3, x = 6

On line 4:

y = 4, x = 10

On line 5:

y = 5, x = 15

Note that, x is gotten by calculating the accumulated number of stars while y is the line number.

Direct variation is represented by

y = kx

kx = y

Where k is the constant of variation

For line 1:

Substitute 1 for y and 1 for x

k * 1 = 1

k = 1

For line 2:

Substitute 2 for y and 3 for x

k * 3 = 2

Divide through by 3

k = ⅔

Note that the values of k in both computations differ.

This implies that there's no direct variation and there's no need to check further.

3 0

2 years ago

Photo and Video Sharing. Photos and videos have become an important part of the online social experience, with more than half of

love history [14]

Answer: 0.923

Step-by-step explanation:

Let A be the event an Internet user posts photos that they have taken themselves, and B be the event an Internet user posts videos that they have taken themselves.

Pew Research Center finds that

P(A)=0.52 P(b)=0.26, and P(A or B)=0.54.

To find : P(A|B)

Since , $\text{P(A or B)=P(A+P(B)-P(A and B)}$

i.e. $\text{P(A and B)=P(A)+P(B)-P(A or B)}$

$\text{P(A and B)=}0.52+0.26-0.54=0.24$

Now, using conditional probability formula ,

$P(A|B)=\dfrac{\text{P(A and B)}}{\text{P(B)}}\\\\=\dfrac{0.24}{0.26}=0.923076923077\approx0.923$

Hence, the conditional probability that an Internet user posts photos that they have taken themselves, given that they post videos that they have taken themselves = 0.923

5 0

3 years ago

Help me find the volume please

Elena L [17]

Answer:

Step-by-step explanation:

The formula of a volume of a pyramid:

$V=\dfrac{1}{3}BH$