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Let G be the event that a randomly chosen employee of a restaurant is a General Manager. Let S be the event that a randomly chosen employee of a restaurant works at a seafood restaurant. Identify the answer which expresses the following with correct notation: Given that the employee is a General Manager, the probability that a randomly chosen employee of a restaurant works at a seafood restaurant.

Respuesta :

Using conditional probability, the expression is given by:

P(S|G)

Conditional probability:

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

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • [tex]P(A \cap B)[/tex] is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem:

  • Is a general manager, thus [tex]A = G[/tex].
  • Probability of working at a seafood restaurant, thus [tex]B = G[/tex]

Then, the conditional expression is:

P(S|G)

A similar problem is given at https://brainly.com/question/24161830

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