Probability
- Complementary events
For an event E such that of an experiment, the event represents ‘not E’ , which is called the complement of the event E. We say, E and are complementary events.
Example:
A pair of dice is thrown once. Find the probability of getting a different number on each die.
Solution:
When a pair of dice is thrown, the possible outcomes of the experiment can be listed as:
The number of all possible outcomes = 6 × 6 = 36
Let E be the event of getting the same number on each die.
Then,is the event of getting different numbers on each die.
Now, the number of outcomes favourable to E is 6.
Thus, the required probability is .
- Algebra of events
- Complementary event: For every event A, there corresponds another event A' called the complementary event to A. It is also called the event ‘not A’.
A' = {} =…
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