Section 4.2 Homework Question 4 Answer

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Section 4.2 Homework

4.

When randomly selecting​ adults, let M denote the event of randomly selecting a male and let B denote the event of randomly selecting someone with blue eyes. What does P(M|B) ​represent? Is

P(M|B) the same as P(B|M)​?  What does P(M|B) ​represent?

  1. The probability of getting a male or getting someone with blue eyes.
  2. The probability of getting a male and getting someone with blue eyes.
  3. The probability of getting a​ male, given that someone with blue eyes has been selected.
  4. The probability of getting someone with blue​ eyes, given that a male has been selected.

 

Is P(M|B) the same as P(B|M)​?

  1. Yes, because P(B|M) represents the probability of getting a​ male, given that someone with blue eyes has been selected.
  2. ​No, because P(B|M) represents the probability of getting someone with blue​ eyes, given that a male has been selected.
  3. ​Yes, because P(B|M) represents the probability of getting someone with blue​ eyes, given that a male has been selected.
  4. ​No, because P(B|M)represents the probability of getting a​ male, given that someone with blue eyes has been selected.

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This question is taken from Math 10 – Introduction to Statistics » Summer 2021 » Section 4.2 Homework