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I am trying to understand the logic of the exercises where we need to solve two cases based on the table:

Find whether the following events are independent or not (check the hint if you don’t know how to solve this):

- Events L and M — assign the string ‘independent’ to a variable named
`l_and_m`

if the events are independent, otherwise assign the string ‘dependent’. - Events L and MC — assign the string ‘independent’ to a variable named
`l_and_non_m`

if the events are independent, otherwise assign the string 'dependent

If I think logically about the condition those events should be independent - a customer is buying a mouse (M) or not buying, a customer is buying (L) or not buying a laptop. This is the same scenario as if we are rolling a a dice two times, both outcomes will be random and independent.

Why are we saying then that L and M are dependent events? Unless this is an absolutely theoretical example which has nothing to do with the reality.

I suspect I might be misunderstanding the meaning of “independent” in the context of the lesson.

…if event A occurs and the probability of B remains unchanged and vice versa (A and B can be any events for any random experiment), then events A and B are said to be

statistically independent

Does the above statement and the table remove “randomness” and hence the probability of L changes because M occurred?

Could someone explain to me please?