Question

Four students are selected at random from a chemistry class and classified as male or female. list the elements of the sample space s1, using the letter m for male and f for female. define a second sample space s2 where the elements represent the number of females selected.

Answer 1

Solution: The sample space corresponding to four students selected at random from a chemistry class and classified as male or female is:

S1 = {(FFFF),(FFFM),(FFMF),(FFMM),(FMFF),(FMFM), (FMMF),(FMMM),(MFFF),(MFFM),(MFMF), (MFMM),(MMFF),(MMFM),(MMMF),(MMMM)}

Now the second sample corresponding to the number of females selected is:

S2 = {0,1,2,3,4}