SOLVED: (a) Use a Venn diagram in which the event areas are proportional to their probabilities to illustrate three non-trivial events A, B, and C that are independent. (b) Provide, if possible, another solution to part (a) that also has P[A] = 0.4 and P[AC] = 0.1. (c) Using a probability table, illustrate three non-trivial events A, B, and C that are pairwise independent but not overall independent (i.e., P[ABC] ≠ P[A] * P[B] * P[C]).

Probability of Two Events Occurring Together

Venn Diagrams with 3 Circles