Use the Venn diagram to calculate probabilities.

Circles A, B, and C overlap. Circle A contains 12, circle B contains 11, and circle C contains 4. The overlap of A and B contains 5, the overlap of B and C contains 3, and the overlap of C and A contains 6. The overlap of the 3 circles contains 8.

Which probabilities are correct? Select two options.

P(A|C) = Two-thirds
P(C|B) = StartFraction 8 Over 27 EndFraction
P(A) = StartFraction 31 Over 59 EndFraction
P(C) = Three-sevenths
P(B|A) = StartFraction 13 Over 27 EndFraction

Respuesta :

Answer:

The first one

The fourth one

Step-by-step explanation:

Draw a venn diagram (see picture)

A|C= (A∩C)/C

(6+8)/(6+8+3+4)= 2/3

C|B= (C∩B)/B

(8+3)/(11+5+8+3)= 11/27

A=(12+5+8+6)/(11+5+8+3+4+6+12) = 31/49

C= (4+6+8+3)/(12+5+11+6+8+3+4)=  3/7

P(B|A)= (B∩A)/A

(5+8)/(12+5+6+8) = 13/31

Ver imagen madethisfortwitch1

Answer:

A and D

Step-by-step explanation:

edge 2021

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