alleryStart learning →Independent or mutually exclusive?
Exercise and reference answers
- Items
- Item
- P(E ∩ F) = P(E) P(F)
- Category
- Independent
- Item
- P(E|F) = P(E)
- Category
- Independent
- Item
- Knowing F changes nothing about E
- Category
- Independent
- Item
- E and F cannot both occur
- Category
- Mutually exclusive
- Item
- P(E ∩ F) = 0
- Category
- Mutually exclusive
- Item
- The events have no outcome in common
- Category
- Mutually exclusive
- Categories
- Item
- Independent
- Item
- Mutually exclusive
Explanation
These are different ideas that get confused constantly.
Independent events satisfy P(E ∩ F) = P(E)P(F)
mutually exclusive events cannot both happen, so their intersection is empty.
Source: syllabus Maths Part II, Ch 13 Probability.
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