Question

Use the Venn diagram to calculate probabilities. Circles A and B overlap. Circle A contains 15, circle B contains 10, and the intersection contains 6. Number 4 is outside of the circles. Which probability is correct? P(A) = Three-fifths P(B) = StartFraction 16 Over 31 EndFraction P(A|B) = Two-sevenths P(B|A) = StartFraction 10 Over 21 EndFraction

Answer 1

(A)P(A)=3/5

Explanation:

got it right on edge

Answer 2

(A)
`P(A)=(3)/(5)`

Explanation:

U=35

For each of the probability in the options, we have:

`P(A)=(21)/(35)=(3)/(5) \\\\P(B)=(16)/(35)\\\\P(A|B)=(P(A\cap B))/(P(B))= (6/35)/(16/35) =(6)/(16)=(3)/(8) \\\\P(B|A)=(P(B\cap A))/(P(A))= (6/35)/(21/35) =(6)/(21)=(2)/(7)`

Therefore, the correct probability is the probability of A.