What is the circumference of a 12 inch (diameter) pizza?
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Answer: No, A and B are not independent events.
∵ it does not satisfy the rule of probability for independent events i.e.
P(A∩B)=P(A).P(B)
Explanation:
Let A be the event that the black dice shows 2 or 5
Let B be the event that the sum of two dice is atleast 7
Sample space of A={(
}
Sample space of B= { ,
,
}
P(A)=
⇒P(A)=
⇒P(A)=
Similarly,
P(B)=
⇒ P(B) =
Now for Sample Space of (A∩B)= {}
So, P(A∩B)=
Now we apply the formula,
P(A).P(B)=P(A∩B)
×
≠
≠
∴ The events A and B are not independent events.