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

Respuesta :

Answer:

(A)[tex]P(A)=\frac{3}{5}[/tex]

Step-by-step explanation:

U=35

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

[tex]P(A)=\frac{21}{35}=\frac{3}{5} \\\\P(B)=\frac{16}{35}\\\\P(A|B)=\frac{P(A\cap B)}{P(B)}= \frac{6/35}{16/35} =\frac{6}{16}=\frac{3}{8} \\\\P(B|A)=\frac{P(B\cap A)}{P(A)}= \frac{6/35}{21/35} =\frac{6}{21}=\frac{2}{7}[/tex]

Therefore, the correct probability is the probability of A.

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Answer:

(A)P(A)=3/5

Step-by-step explanation:

got it right on edge