No, A and B are not independent events
Step-by-step explanation:
Let us study the meaning independent probability
∵ P(A) = [tex]\frac{3}{14}[/tex]
∵ P(B) = [tex]\frac{1}{5}[/tex]
∴ P(A) . P(B) = [tex]\frac{3}{14}[/tex] × [tex]\frac{1}{5}[/tex]
∴ P(A) . P(B) = [tex]\frac{3(1)}{14(5)}[/tex]
∴ P(A) . P(B) = [tex]\frac{3}{70}[/tex]
∵ P(A and B) = [tex]\frac{3}{65}[/tex]
∵ P(A) . P(B) = [tex]\frac{3}{70}[/tex]
- The two answers are not equal
∴ P (A and B) ≠ P(A) · P(B)
- In independent events P (A and B) = P(A) · P(B)
∴ A and B are not independent events
No, A and B are not independent events
Learn more:
You can learn more about probability in brainly.com/question/13053309
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