By defining heads and tails as two events in a single coin toss, they are mutually exclusive because they cannot happen simultaneously. Knowing that one outcome occurred changes the probability of the other to zero, proving they are dependent, not independent.
Conditions: A single toss of a fair coin.; Event A is 'heads up' and Event B is 'tails up'.
By defining heads and tails as two events in a single coin toss, they are mutually exclusive because they cannot happen simultaneously. Knowing that one outcome occurred changes the probability of the other to zero, proving they are dependent, not independent.
Conditions: A single toss of a fair coin.; Event A is 'heads up' and Event B is 'tails up'.