Question 27 of 27advanced🔍 AnalyzeShort Answer4 marks

Three coins are tossed, and the number of heads is recorded. Which of the following lists is a sample space for this experiment? Why do the other lists fail to qualify as a sample space?

(i)

{1, 2, 3}

(ii)

{0, 1, 2}

(iii)

{0, 1, 2, 3, 4}

(iv)

{0, 1, 2, 3}

Explanation

Option (iv) is correct because when three coins are tossed, the number of heads can be 0, 1, 2, or 3. The other options fail because they either miss possible outcomes (i and ii) or include impossible outcomes (iii).

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