You find the sample space by enumerating all of the possible outcomes. The sample space for three coins is [TTT, TTH, THT, THH, HTT, HTH, HHT, HHH].
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The sample space for choosing a letter from the word SPACE is {S, P, A, C, E}. The sample space for choosing a consonant from the word MATH is {M, T, H}. Consonants are letters that are not vowels (A, E, I, O, U), so in the word MATH, the consonants are M, T, and H.
The sample space is 1R, 2R, 3R, 4R, 5R, 1W, 2W, 3W, 4W, 5W, 1B, 2B, 3B, 4B, 5B.
6/16 or 3/86/16 or 3/86/16 or 3/86/16 or 3/8
You are studying the sample because you want to find out information about the whole population. If the sample you have drawn from the population does not represent the population, you will find out about the sample but will not find out about the population.