and by the law of total probability,
In other words, each cell in the grid left of and above the total column and row represents the joint probabilities (e.g. ). So,
1. P(C AND D) = 0.3
2. (C.) C and D are not mutually exclusive because P(C AND D) ≠ 0
3. (A.) The events are not independent because P(C | D) ≠ P(C)
4.P(D | C) = 0.5
• Let P(C) = 0.4
• Let P(D) = 0.5
• Let P(C | D) = 0.6
1.) Find P(C AND D).
2.) Events can be mutually exclusive meaning the both event cannot happen at the same time. So, P(A and B) = 0
3.) Events can be "Independent", meaning each event is not affected by any other events.
4.) Find P(D | C)