c) Three far coins are tossed and the following events are defined : A: {observe at least one head} C: {observe exactly two tails} B: {observe exactly two heads} D: {observe at most one head} i. Sum...

Extracted text: c) Three far coins are tossed and the following events are defined : A: {observe at least one head} C: {observe exactly two tails} B: {observe exactly two heads} D: {observe at most one head} i. Sum the probabilities of the appropriate simple events to find: P(A), P(B), P(C), P(D), P(ANB), P(AND), P(BNC) and P(BND). ii. Use the formula of this section and your answers to part (i) to calculate: P(AUB), P(DUA), P(BUC), P(B|A), P(A|D) and P(C|B). Are events A and B independent? Mutually exclusive? Are events A and D independent? Mutually exclusive? iii. iv.