Question

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?

(A) The probability of getting someone with blue eyes, gven that a male has been selected

(B) The probability of getting a male and getting someone with blue eyes.

(C) The probability of getting a male or getting someone with biue

(D) The probability of getting a male, given that someone with blue ayes has been selected


Is P(M|B) the same as P(B|M)​?

(A) No, becase P(BIM) represents the probabity of getting a male, given that someore with blue eyes as been selected(B) No, because P(BIM) represents the probability of getting someone with blue eyes, given that a male has been selected

(C) Yes, because P(BIM) represents the probability of getting a male, given that someone with blue eyes has been selected

(D) Yes, because P(BIM) represen

Answer 1

(D) P (M|B) ​ represents the probability of getting a male, given that someone with blue eyes has been selected.

(B) No, because P(BIM) represents the probability of getting someone with blue eyes, given that a male has been selected.

Explanation:

Given that, M denotes the event of randomly selecting a male and B denotes the event of randomly selecting someone with blue eyes.

So, P (M|B) ​ represents the probability of getting a male, given that someone with blue eyes has been selected.

While P(B|M)​ represents the probability of getting someone with blue eyes, given that a male has been selected, so, P(M|B) and P(B|M) are not the same.