An event E is a subset of the sample space S. In these slides, I define an event and give examples of different types of events along with their corresponding subsets of S

1. Maths topic for
Probability:
Event
By Dhruv Sethi;
dhrsethi1@gmail.com/+91 9310805977
11th Grade

2. event
• Definition: Any subset E of a sample space S is called an event
• Consider the experiment of tossing a coin two times. An associated sample
space is S = {HH, HT, TH, TT}
• Now suppose that we are interested in those outcomes which correspond to
the occurrence of exactly one head. We find that HT and TH are the only
elements of S corresponding to the occurrence of this happening (event).
These two elements form the set E = { HT, TH}

3. event
• We find the following correspondence between events and subsets of S:
Description of events Corresponding subset of S
1. Number of tails is exactly 2 A = {TT}
2. Number of tails is at least one B = {HT, TH, TT}
3. Number of heads is at most one C = {TT, TH, HT}
4. Second toss is not a head D = {HT, TT}
5. Number of tails is at most 2 S = {HH, TH, HT, TT}
6. Number of tails is more than 2 {}

4. event
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