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zavuch27 [327]
3 years ago
13

According to the general equation for conditional probability, if (image attached)

Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0

Answer:

Correct choice is A. P(A|B)=\frac{40}{49}.

Step-by-step explanation:

Given that P(A\cap B)=\frac{5}{7}, P(B)=\frac{7}{8}.

Now using those values , we need to find the value of P(A|B).

So apply the formula of conditional probability:

P(A\cap B)=P(B) \times P(A|B)

Plug the given values into above formula,  we get:

\frac{5}{7}=\frac{7}{8} \times P(A|B)

\frac{7}{8} \times P(A|B)=\frac{5}{7}

P(A|B)=\frac{\frac{5}{7}}{\frac{7}{8}}

P(A|B)=\frac{5}{7}\cdot\frac{8}{7}

P(A|B)=\frac{40}{49}

Hence correct choice is A. P(A|B)=\frac{40}{49}.

katrin2010 [14]3 years ago
5 0

Answer: Option A

P(A|B) = \frac{40}{49}

Step-by-step explanation:

In a probabilistic experiment, when two events A and B are dependent on each other, then the probability of occurrence A since B occurs is:

P(A|B) = \frac{P(A\ and\ B)}{P(B)}

Then if P(A\ and\ B) = \frac{5}{7} and P(B) = \frac{7}{8} then:

P(A|B) = \frac{\frac{5}{7}}{\frac{7}{8}}\\\\P(A|B) = \frac{40}{49}

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Use the KCF method to divide

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<h2>Hello!</h2>

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Shawna, Dexter, and Tilana are solving the equation Negative 2. 5 (5 minus n) 2 = 15. Shawna says, "I can begin by dividing each
aleksandrvk [35]

Shawana, Dexter, and Tilana are correct.

<h2>Given that</h2>

Equation: \rm  -2.5(5 - n) + 2 = 15&#10;&#10;&#10;

<h3>We have to determine</h3>

Which students are correct?

<h3>According to the question</h3><h3>Equation: \rm  -2.5(5 - n) + 2 = 15&#10;&#10;&#10;</h3>

The correct way to solve the equation is;

SHAWNA

Statement: Dividing each side of the equation by –2.5,

\rm  \dfrac{-2.5(5 - n) + 2 }{-2.5}= \dfrac{15}{-2.5}\\&#10;\\&#10;(5-n) - \dfrac{2}{2.5} =  \dfrac{15}{-2.5}\\\\&#10;\\&#10;

Here, Shawna is correct.

DEXTER

Statement: Distributing -2.5 to get -12.5 + 2.5 n + 2 = 15.

\rm -2.5(5-n) +2=15\\&#10;\\&#10;-2.5(5) - 2.5 (-n) +2= 15\\&#10;\\&#10;-12.5 +2.5n +2=15

Hence, Dexter is correct.

" Tirana says, "I can begin by multiplying each side of the equation by Negative Start fraction 1 over 2. 5 End fraction to get 5 minus n minus 0. 8 = negative 6. "

\rm \dfrac{-1}{2.5} (-2.5 (5-n)+2)= \dfrac{-1}{2.5}\times 15\\&#10;\\&#10;(5-n) + \dfrac{-2}{2.5} = \dfrac{-15}{2.25}\\&#10;\\&#10;(5-n) -\dfrac{2}{2.5} = \dfrac{-15}{2.5}\\&#10;\\&#10;5-n-0.8=-6

Hence, Tilana is also correct.

Hence, Shawana, Dexter and Tilana are correct.

To know more about Equation click the link given belwo.

brainly.com/question/13904969

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