Mathematics: According to the general equation for conditional probability, if (image attached) a. b. c. d.

According to the general equation for conditional

ineedhelp2285

14.01.2022

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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james8781

14.01.2022

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

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hickslily9

18.11.2021

x=95, if thats what ur trying to find

Step-by-step explanation:

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