[All Steps] You are taking two courses during winter session, math and history, and your subjective assessment of your performance is: Event Probability
Question: You are taking two courses during winter session, math and history, and your subjective assessment of your performance is:
| Event | Probability |
| fail both courses | .05 |
| fail math ( irrespective of whether or not you fail history as well) | .15 |
| fail history ( irrespective of whether or not you fail math as well) | .08 |
Let's develop a joint-probability table to analyze this problem (the letters A – H represent probability values. For example, A is the probability of failing both math and history; B is the probability of failing math and passing history; while C is the sum of A and B, and represents the probability of failing math).
| fail history | pass history | row sum | |
| fail math | A | B | C |
| pass math | D | E | F |
| column sum | G | H |
| fail history | pass history | row sum | |
| fail math | 0.05 | 0.10 | 0.15 |
| pass math | 0.03 | 0.82 | 0.85 |
| column sum | 0.08 | 0.92 | 1 |
- What does C + F equal?
- What does A + B + D + E equal?
- What is the probability of failing math only (that is, you fail math but pass history)?
- What is the probability of passing either course?
Deliverable: Word Document 
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