Page 19 - DMTH404_STATISTICS

Unit 1: Sample Space of A Random Experiment

 When we are dealing with a discrete sample space, we can identify events with sets of Notes
points in the sample space. Thus, an event can be formally regarded as a subset of the
sample space. This definition works only when the sample space is discrete.
 We can use operations like complementation, intersection,, union and difference to generate
new events.

 Some complex events can be described in terms of simpler events by using the above-
mentioned set operations.

1.6 Keywords

Events: An event is a set of outcomes (a subset of the sample space) to which probability assigned.

Sample space: The sample space of ten denoted by S, W, of an experiment or random trial is the
set of all possible outcomes.
Set: A set is a collection of well defined and distance object considered as an object of its own
right.
Union: Two sets can be added together. It is denoted by .

1.7 Self Assessment

1. Flipping of two coin then it is possible to get 0 heads, 1 head, 2 heads. Then sample space
will be
(a) {1, 2, 3} (b) {0, 1, 2}
(c) {2, –1, 0} (d) {0, 1, 3}

2. An event is a set of outcomes (a subset of the sample space) to which probability assigned.
(a) Events (b) Sample space
(c) Set (d) Union
3. The sample space of ten denoted by S, W, of an experiment or random trial is the set of all
possible outcomes.
(a) Events (b) Sample space
(c) Set (d) Union
4. A set is a collection of well defined and distance object considered as an object of its own
right.
(a) Events (b) Sample space
(c) Set (d) Union
5. Two sets can be added together. It is denoted by .
(a) Events (b) Sample space

(c) Set (d) Union
6. Often rolling two dice. The sum all {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. However, each of these
aren’t equally likely. The only way to get a sum 2 is to roll a 1 on both dice, but you can get
a sum of 4 by rolling a ...................
(a) 1 – 3, 2 – 2, 2 – 5, 2 – 3 (b) 1 – 3, 2 – 2, 2 – 1, 2 – 0
(c) 3 – 1, 1 – 3, 2 – 2, 4 – 0 (d) 1 – 3, 2 – 2, 3 – 1

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