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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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