Engineering
Mathematics
Fundamental Principal of Counting
Sets
Basic Definitions Related to Probability
Question

An experiment consists of tossing a coin and then throwing it second time if a head occurs. If a tail occurs on the first toss then a die is rolled once. Find the sample space

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Solution
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A coin has two faces: Head (H) and tail (T)

A die has six faces that are numbered from 1 to 6 with one number on each face.

Thus in the given experiment the sample space is given by,

S = HH, HT, T1, T2, T3, T4, T5, T6