(a) Consider two trials. We do not impose any independence condition but assume that all outcomes are equally likely. Our intuition tells us that in this case, trials are independent in the sense that, for example, the events A₁ = { the first trial is successful} and A₂ = { the second trial is successful} are independent. Proceeding from the definition of independence, show that this is indeed true.

(b) Do the same for n trials.