Afamily has two children. m represents male, and f represents female. what is the sample space for the gender of the children?
a) {f, m}
b) {fm, ff, mm, mf}
c) {ff, mm}
d) {mf, fm}

There are four (4) possible outcomes; {FM, FF, MM, MF}

Explanation: Sample space can be defined as the set of all possible outcomes or results of an experiment or random trial. The size of the outcomes constitutes the number of elements present in the space and this is called Sample size.

Since the question involves two children, there are four possible outcomes for the gender. The two children of the family could be in the following formations;

1. Female - Male

2. Female - Female

3. Male - Male

4. Male - Female

Hence, the sample space will be {FM, FF, MM, MF}

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