Question

Use the Venn diagram to calculate probabilities.

Which probabilities are correct? Select two options.
P(AIC) =
PCB) = 0
PLA) =
PC)
PBIA) = 3

Answer 1

Answer: A and C

Explanation:

Edg 2021

Answer 2

Corrected Question

These are the given probabilities. The Venn diagram is also attached. are (A) P(A|C) = 2/3

(B) P(C|B) = 8/27

(C) P(A) = 31/59

(D) P(C) = 3/7

(E) P(B|A) = 13/27

Answer:

A and C

Explanation:

`P(A|C)=(P(A\cap C))/(P(C))= (14/59)/(21/59)=(14)/(21)=(2)/(3)`

`P(C|B) =(P(C\cap B))/(P(B))= (11/59)/(27/59)=(11)/(27)\\eq (8)/(27)\\\\P(A) = (31)/(59)\\\\P(C) =(21)/(59)\\eq (3)/(7)\\\\P(B|A)=(P(B\cap A))/(P(A))= (13/59)/(31/59)=(13)/(31)\\eq(13)/(27)`

From the above, only A and C are correct.