What to you mean by Compound or Composite Event?

1.	What to you mean by Compound or Composite Event?
Answer» An event containing more than one sample point is called a compound or composite event. It is a subset of the sample spaces. For example, (i) If a die is thrown, then the statement “getting an odd number on the top” is a compound event containing the sample points 1, 3 and 5. Let A denote the given event, then A = {1, 3, 5} Sample space S = {1, 2, 3, 4, 5, 6} Clearly A ⊂ S (ii) If two coins are tossed simultaneously then the sample space S is given by : S = {(HH), (HT), (TH), (TT)} If A be the event that “one head and one tail” turn up, then A = {(HT), (TH)}

Answer»

An event containing more than one sample point is called a compound or composite event. It is a subset of the sample spaces.

For example,

(i) If a die is thrown, then the statement “getting an odd number on the top” is a compound event containing the sample points 1, 3 and 5.

Let A denote the given event, then A = {1, 3, 5}

Sample space S = {1, 2, 3, 4, 5, 6}

Clearly A ⊂ S

(ii) If two coins are tossed simultaneously then the sample space S is given by :

S = {(HH), (HT), (TH), (TT)}

If A be the event that “one head and one tail” turn up, then

A = {(HT), (TH)}

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