Hi P(a) = 0.4 and P(b) = 0.7

This is not mutually exclusive. Are these independent?

In general, Any time I conclude events to be not mutually exclusive, can I also say they are independent.

Hi P(a) = 0.4 and P(b) = 0.7

This is not mutually exclusive. Are these independent?

In general, Any time I conclude events to be not mutually exclusive, can I also say they are independent.

Yes these are not mutually exclusive, but that doesn’t mean that they are independent

You could consider them independent if:

- The events defined are unrelated to each other for eg. a: Raining, b:eating pasta
- The question simply states that a and b are independent
- If P(a \cap b) = P(a)*P(b) = 0.28

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Thank You Vidishas that helps clear a fundamental doubt!