Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

If p(a) =. 35 and p(b) =. 45 and p(a and b) =. 25, then p(b|a) is

Sagot :

ghanami

Answer:

p(b|a) =5/7

Step-by-step explanation:

hello :

note : p(b|a) = p(a and b)/p(a)

p(b|a) = 25/35 =5/7

The value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7

What is chain rule in probability?

For two events A and B, by chain rule, we have:

[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]

where P(A|B) is probability of occurrence of A given that B already occurred.

We're given that:

  • P(A) = 0.35
  • P(B) = 0.45
  • P(A and B) = P(A ∩ B) = 0.25
  • P(B|A) = to be known.

Using the chain rule of probability, we get:

[tex]P(A \cap B) = P(A)P(B|A) \\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)} = \dfrac{0.25}{0.35} = \dfrac{5}{7}[/tex]

Thus, the value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7

Learn more about chain rule here:

https://brainly.com/question/21081988

#SPJ4

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.