Question

Write a sample space for the experiment “a coin is tossed repeatedly three times”.

Answer 1

Hint: In this question it is given that we have to find the sample space for the experiment “a coin is tossed repeatedly three times”. So to find the solution we need to know that sample space is the collection of all possible outcomes.
Complete step-by-step solution:
So when a coin is tossed, we either get a head or a tail.
So considering H as a head and T as a tail.
Since a coin is tossed three times, then in each outcome we get a combination of three faces of coin, eg- Head Tail Head (HTH)
So, therefore, we can write the sample space for tossing a coin three times repeatedly is $$S=\left\{ HHH,HHT,HTH,THH,HTT,THT,TTH,TTT\right\} $$.
Note: whenever you write a sample space of a collection of outcomes you have to write it under second brackets ’{}’, also this is the representation of the set.